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Finding the Fourth Proportional to 596.50, 892.85 and 458.89

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Solution

The fourth proportional to 596.50, 892.85 and 458.89 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 892.85 = 458.89 : x
  2. Step 2: Convert to fraction form
    596.50/892.85 = 458.89/x
  3. Step 3: Cross multiply
    596.50x = 892.85 × 458.89
  4. Step 4: Simplify right side
    596.50x = 409,715.41
  5. Step 5: Solve for x
    x = 409,715.41/596.50
  6. Step 6: Final answer
    x = 686.87

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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.