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Finding the Fourth Proportional to 454.71, 627.54 and 255.57

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Solution

The fourth proportional to 454.71, 627.54 and 255.57 is: 352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.71 : 627.54 = 255.57 : x
  2. Step 2: Convert to fraction form
    454.71/627.54 = 255.57/x
  3. Step 3: Cross multiply
    454.71x = 627.54 × 255.57
  4. Step 4: Simplify right side
    454.71x = 160,377.09
  5. Step 5: Solve for x
    x = 160,377.09/454.71
  6. Step 6: Final answer
    x = 352.70

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Why These Related Problems?

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