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Finding the Fourth Proportional to 477.57, 716.17 and 152.76

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Solution

The fourth proportional to 477.57, 716.17 and 152.76 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 716.17 = 152.76 : x
  2. Step 2: Convert to fraction form
    477.57/716.17 = 152.76/x
  3. Step 3: Cross multiply
    477.57x = 716.17 × 152.76
  4. Step 4: Simplify right side
    477.57x = 109,402.13
  5. Step 5: Solve for x
    x = 109,402.13/477.57
  6. Step 6: Final answer
    x = 229.08

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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.