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Finding the Fourth Proportional to 630.31, 868.82 and 497.31

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Solution

The fourth proportional to 630.31, 868.82 and 497.31 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.31 : 868.82 = 497.31 : x
  2. Step 2: Convert to fraction form
    630.31/868.82 = 497.31/x
  3. Step 3: Cross multiply
    630.31x = 868.82 × 497.31
  4. Step 4: Simplify right side
    630.31x = 432,072.37
  5. Step 5: Solve for x
    x = 432,072.37/630.31
  6. Step 6: Final answer
    x = 685.49

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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.