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Finding the Fourth Proportional to 539.16, 806.58 and 472.92

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Solution

The fourth proportional to 539.16, 806.58 and 472.92 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 806.58 = 472.92 : x
  2. Step 2: Convert to fraction form
    539.16/806.58 = 472.92/x
  3. Step 3: Cross multiply
    539.16x = 806.58 × 472.92
  4. Step 4: Simplify right side
    539.16x = 381,447.81
  5. Step 5: Solve for x
    x = 381,447.81/539.16
  6. Step 6: Final answer
    x = 707.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.