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Finding the Fourth Proportional to 637.07, 878.31 and 459.88

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Solution

The fourth proportional to 637.07, 878.31 and 459.88 is: 634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.07 : 878.31 = 459.88 : x
  2. Step 2: Convert to fraction form
    637.07/878.31 = 459.88/x
  3. Step 3: Cross multiply
    637.07x = 878.31 × 459.88
  4. Step 4: Simplify right side
    637.07x = 403,915.01
  5. Step 5: Solve for x
    x = 403,915.01/637.07
  6. Step 6: Final answer
    x = 634.02

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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.