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Finding the Fourth Proportional to 454.39, 627.14 and 257.86

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Solution

The fourth proportional to 454.39, 627.14 and 257.86 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.39 : 627.14 = 257.86 : x
  2. Step 2: Convert to fraction form
    454.39/627.14 = 257.86/x
  3. Step 3: Cross multiply
    454.39x = 627.14 × 257.86
  4. Step 4: Simplify right side
    454.39x = 161,714.32
  5. Step 5: Solve for x
    x = 161,714.32/454.39
  6. Step 6: Final answer
    x = 355.89

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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.