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Finding the Fourth Proportional to 477.46, 716.26 and 152.72

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Solution

The fourth proportional to 477.46, 716.26 and 152.72 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.46 : 716.26 = 152.72 : x
  2. Step 2: Convert to fraction form
    477.46/716.26 = 152.72/x
  3. Step 3: Cross multiply
    477.46x = 716.26 × 152.72
  4. Step 4: Simplify right side
    477.46x = 109,387.23
  5. Step 5: Solve for x
    x = 109,387.23/477.46
  6. Step 6: Final answer
    x = 229.10

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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.