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Finding the Fourth Proportional to 417.66, 627.10 and 264.56

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Solution

The fourth proportional to 417.66, 627.10 and 264.56 is: 397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 627.10 = 264.56 : x
  2. Step 2: Convert to fraction form
    417.66/627.10 = 264.56/x
  3. Step 3: Cross multiply
    417.66x = 627.10 × 264.56
  4. Step 4: Simplify right side
    417.66x = 165,905.58
  5. Step 5: Solve for x
    x = 165,905.58/417.66
  6. Step 6: Final answer
    x = 397.23

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Why These Related Problems?

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