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Finding the Fourth Proportional to 630.01, 869.29 and 397

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Solution

The fourth proportional to 630.01, 869.29 and 397 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.01 : 869.29 = 397 : x
  2. Step 2: Convert to fraction form
    630.01/869.29 = 397/x
  3. Step 3: Cross multiply
    630.01x = 869.29 × 397
  4. Step 4: Simplify right side
    630.01x = 345,108.13
  5. Step 5: Solve for x
    x = 345,108.13/630.01
  6. Step 6: Final answer
    x = 547.78

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