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Finding the Fourth Proportional to 458.97, 688.30 and 285.83

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Solution

The fourth proportional to 458.97, 688.30 and 285.83 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.97 : 688.30 = 285.83 : x
  2. Step 2: Convert to fraction form
    458.97/688.30 = 285.83/x
  3. Step 3: Cross multiply
    458.97x = 688.30 × 285.83
  4. Step 4: Simplify right side
    458.97x = 196,735.21
  5. Step 5: Solve for x
    x = 196,735.21/458.97
  6. Step 6: Final answer
    x = 428.65

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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.