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Finding the Fourth Proportional to 477.28, 715.56 and 203.14

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Solution

The fourth proportional to 477.28, 715.56 and 203.14 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 715.56 = 203.14 : x
  2. Step 2: Convert to fraction form
    477.28/715.56 = 203.14/x
  3. Step 3: Cross multiply
    477.28x = 715.56 × 203.14
  4. Step 4: Simplify right side
    477.28x = 145,358.86
  5. Step 5: Solve for x
    x = 145,358.86/477.28
  6. Step 6: Final answer
    x = 304.56

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