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Finding the Fourth Proportional to 417.68, 627.42 and 255.46

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Solution

The fourth proportional to 417.68, 627.42 and 255.46 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 627.42 = 255.46 : x
  2. Step 2: Convert to fraction form
    417.68/627.42 = 255.46/x
  3. Step 3: Cross multiply
    417.68x = 627.42 × 255.46
  4. Step 4: Simplify right side
    417.68x = 160,280.71
  5. Step 5: Solve for x
    x = 160,280.71/417.68
  6. Step 6: Final answer
    x = 383.74

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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.