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Finding the Fourth Proportional to 627.48, 866.04 and 417.66

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Solution

The fourth proportional to 627.48, 866.04 and 417.66 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 866.04 = 417.66 : x
  2. Step 2: Convert to fraction form
    627.48/866.04 = 417.66/x
  3. Step 3: Cross multiply
    627.48x = 866.04 × 417.66
  4. Step 4: Simplify right side
    627.48x = 361,710.27
  5. Step 5: Solve for x
    x = 361,710.27/627.48
  6. Step 6: Final answer
    x = 576.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.