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Finding the Fourth Proportional to 454.52, 627.08 and 257.92

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Solution

The fourth proportional to 454.52, 627.08 and 257.92 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.52 : 627.08 = 257.92 : x
  2. Step 2: Convert to fraction form
    454.52/627.08 = 257.92/x
  3. Step 3: Cross multiply
    454.52x = 627.08 × 257.92
  4. Step 4: Simplify right side
    454.52x = 161,738.59
  5. Step 5: Solve for x
    x = 161,738.59/454.52
  6. Step 6: Final answer
    x = 355.84

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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.