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Finding the Fourth Proportional to 477.56, 716.84 and 272.52

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Solution

The fourth proportional to 477.56, 716.84 and 272.52 is: 409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.56 : 716.84 = 272.52 : x
  2. Step 2: Convert to fraction form
    477.56/716.84 = 272.52/x
  3. Step 3: Cross multiply
    477.56x = 716.84 × 272.52
  4. Step 4: Simplify right side
    477.56x = 195,353.24
  5. Step 5: Solve for x
    x = 195,353.24/477.56
  6. Step 6: Final answer
    x = 409.07

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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.