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Finding the Fourth Proportional to 454.70, 627.39 and 288.78

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Solution

The fourth proportional to 454.70, 627.39 and 288.78 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.70 : 627.39 = 288.78 : x
  2. Step 2: Convert to fraction form
    454.70/627.39 = 288.78/x
  3. Step 3: Cross multiply
    454.70x = 627.39 × 288.78
  4. Step 4: Simplify right side
    454.70x = 181,177.68
  5. Step 5: Solve for x
    x = 181,177.68/454.70
  6. Step 6: Final answer
    x = 398.46

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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.