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Finding the Fourth Proportional to 596.87, 823.58 and 360.76

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Solution

The fourth proportional to 596.87, 823.58 and 360.76 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 823.58 = 360.76 : x
  2. Step 2: Convert to fraction form
    596.87/823.58 = 360.76/x
  3. Step 3: Cross multiply
    596.87x = 823.58 × 360.76
  4. Step 4: Simplify right side
    596.87x = 297,112.21
  5. Step 5: Solve for x
    x = 297,112.21/596.87
  6. Step 6: Final answer
    x = 497.78

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.