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Finding the Fourth Proportional to 454.43, 627.21 and 288.86

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Solution

The fourth proportional to 454.43, 627.21 and 288.86 is: 398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.43 : 627.21 = 288.86 : x
  2. Step 2: Convert to fraction form
    454.43/627.21 = 288.86/x
  3. Step 3: Cross multiply
    454.43x = 627.21 × 288.86
  4. Step 4: Simplify right side
    454.43x = 181,172.74
  5. Step 5: Solve for x
    x = 181,172.74/454.43
  6. Step 6: Final answer
    x = 398.68

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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.