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Finding the Fourth Proportional to 540, 814.32 and 468.72

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Solution

The fourth proportional to 540, 814.32 and 468.72 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 814.32 = 468.72 : x
  2. Step 2: Convert to fraction form
    540/814.32 = 468.72/x
  3. Step 3: Cross multiply
    540x = 814.32 × 468.72
  4. Step 4: Simplify right side
    540x = 381,688.07
  5. Step 5: Solve for x
    x = 381,688.07/540
  6. Step 6: Final answer
    x = 706.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.