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Finding the Fourth Proportional to 596.77, 823.53 and 348.09

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Solution

The fourth proportional to 596.77, 823.53 and 348.09 is: 480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.77 : 823.53 = 348.09 : x
  2. Step 2: Convert to fraction form
    596.77/823.53 = 348.09/x
  3. Step 3: Cross multiply
    596.77x = 823.53 × 348.09
  4. Step 4: Simplify right side
    596.77x = 286,662.56
  5. Step 5: Solve for x
    x = 286,662.56/596.77
  6. Step 6: Final answer
    x = 480.36

Related Problems

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Half scale
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Double scale
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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.