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Finding the Fourth Proportional to 596.41, 823.06 and 360.37

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Solution

The fourth proportional to 596.41, 823.06 and 360.37 is: 497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.41 : 823.06 = 360.37 : x
  2. Step 2: Convert to fraction form
    596.41/823.06 = 360.37/x
  3. Step 3: Cross multiply
    596.41x = 823.06 × 360.37
  4. Step 4: Simplify right side
    596.41x = 296,606.13
  5. Step 5: Solve for x
    x = 296,606.13/596.41
  6. Step 6: Final answer
    x = 497.32

Related Problems

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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.