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Finding the Fourth Proportional to 458.85, 688.29 and 146.55

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Solution

The fourth proportional to 458.85, 688.29 and 146.55 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.85 : 688.29 = 146.55 : x
  2. Step 2: Convert to fraction form
    458.85/688.29 = 146.55/x
  3. Step 3: Cross multiply
    458.85x = 688.29 × 146.55
  4. Step 4: Simplify right side
    458.85x = 100,868.90
  5. Step 5: Solve for x
    x = 100,868.90/458.85
  6. Step 6: Final answer
    x = 219.83

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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.