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Finding the Fourth Proportional to 454.30, 627.02 and 257.81

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Solution

The fourth proportional to 454.30, 627.02 and 257.81 is: 355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.30 : 627.02 = 257.81 : x
  2. Step 2: Convert to fraction form
    454.30/627.02 = 257.81/x
  3. Step 3: Cross multiply
    454.30x = 627.02 × 257.81
  4. Step 4: Simplify right side
    454.30x = 161,652.03
  5. Step 5: Solve for x
    x = 161,652.03/454.30
  6. Step 6: Final answer
    x = 355.83

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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.