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Finding the Fourth Proportional to 499.89, 688.37 and 458.31

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Solution

The fourth proportional to 499.89, 688.37 and 458.31 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.89 : 688.37 = 458.31 : x
  2. Step 2: Convert to fraction form
    499.89/688.37 = 458.31/x
  3. Step 3: Cross multiply
    499.89x = 688.37 × 458.31
  4. Step 4: Simplify right side
    499.89x = 315,486.85
  5. Step 5: Solve for x
    x = 315,486.85/499.89
  6. Step 6: Final answer
    x = 631.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.