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Finding the Fourth Proportional to 417.69, 627.14 and 375.17

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Solution

The fourth proportional to 417.69, 627.14 and 375.17 is: 563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 627.14 = 375.17 : x
  2. Step 2: Convert to fraction form
    417.69/627.14 = 375.17/x
  3. Step 3: Cross multiply
    417.69x = 627.14 × 375.17
  4. Step 4: Simplify right side
    417.69x = 235,281.92
  5. Step 5: Solve for x
    x = 235,281.92/417.69
  6. Step 6: Final answer
    x = 563.29

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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.