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Finding the Fourth Proportional to 630.10, 869.52 and 397

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Solution

The fourth proportional to 630.10, 869.52 and 397 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.10 : 869.52 = 397 : x
  2. Step 2: Convert to fraction form
    630.10/869.52 = 397/x
  3. Step 3: Cross multiply
    630.10x = 869.52 × 397
  4. Step 4: Simplify right side
    630.10x = 345,199.44
  5. Step 5: Solve for x
    x = 345,199.44/630.10
  6. Step 6: Final answer
    x = 547.85

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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.