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Finding the Fourth Proportional to 458.17, 682.24 and 451.62

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Solution

The fourth proportional to 458.17, 682.24 and 451.62 is: 672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.17 : 682.24 = 451.62 : x
  2. Step 2: Convert to fraction form
    458.17/682.24 = 451.62/x
  3. Step 3: Cross multiply
    458.17x = 682.24 × 451.62
  4. Step 4: Simplify right side
    458.17x = 308,114.93
  5. Step 5: Solve for x
    x = 308,114.93/458.17
  6. Step 6: Final answer
    x = 672.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.