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Finding the Fourth Proportional to 454.60, 627.28 and 288.96

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Solution

The fourth proportional to 454.60, 627.28 and 288.96 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.60 : 627.28 = 288.96 : x
  2. Step 2: Convert to fraction form
    454.60/627.28 = 288.96/x
  3. Step 3: Cross multiply
    454.60x = 627.28 × 288.96
  4. Step 4: Simplify right side
    454.60x = 181,258.83
  5. Step 5: Solve for x
    x = 181,258.83/454.60
  6. Step 6: Final answer
    x = 398.72

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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.