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Finding the Fourth Proportional to 454.91, 627.66 and 289.13

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Solution

The fourth proportional to 454.91, 627.66 and 289.13 is: 398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.91 : 627.66 = 289.13 : x
  2. Step 2: Convert to fraction form
    454.91/627.66 = 289.13/x
  3. Step 3: Cross multiply
    454.91x = 627.66 × 289.13
  4. Step 4: Simplify right side
    454.91x = 181,472.20
  5. Step 5: Solve for x
    x = 181,472.20/454.91
  6. Step 6: Final answer
    x = 398.92

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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.