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Finding the Fourth Proportional to 458.58, 686.94 and 284.82

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Solution

The fourth proportional to 458.58, 686.94 and 284.82 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.58 : 686.94 = 284.82 : x
  2. Step 2: Convert to fraction form
    458.58/686.94 = 284.82/x
  3. Step 3: Cross multiply
    458.58x = 686.94 × 284.82
  4. Step 4: Simplify right side
    458.58x = 195,654.25
  5. Step 5: Solve for x
    x = 195,654.25/458.58
  6. Step 6: Final answer
    x = 426.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.