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Finding the Fourth Proportional to 477.89, 717.10 and 272.59

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Solution

The fourth proportional to 477.89, 717.10 and 272.59 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.89 : 717.10 = 272.59 : x
  2. Step 2: Convert to fraction form
    477.89/717.10 = 272.59/x
  3. Step 3: Cross multiply
    477.89x = 717.10 × 272.59
  4. Step 4: Simplify right side
    477.89x = 195,474.29
  5. Step 5: Solve for x
    x = 195,474.29/477.89
  6. Step 6: Final answer
    x = 409.04

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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.