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Finding the Fourth Proportional to 637.70, 880.04 and 497.97

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Solution

The fourth proportional to 637.70, 880.04 and 497.97 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 880.04 = 497.97 : x
  2. Step 2: Convert to fraction form
    637.70/880.04 = 497.97/x
  3. Step 3: Cross multiply
    637.70x = 880.04 × 497.97
  4. Step 4: Simplify right side
    637.70x = 438,231.03
  5. Step 5: Solve for x
    x = 438,231.03/637.70
  6. Step 6: Final answer
    x = 687.21

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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.