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Finding the Fourth Proportional to 630.30, 869.48 and 381.71

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Solution

The fourth proportional to 630.30, 869.48 and 381.71 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.30 : 869.48 = 381.71 : x
  2. Step 2: Convert to fraction form
    630.30/869.48 = 381.71/x
  3. Step 3: Cross multiply
    630.30x = 869.48 × 381.71
  4. Step 4: Simplify right side
    630.30x = 331,882.95
  5. Step 5: Solve for x
    x = 331,882.95/630.30
  6. Step 6: Final answer
    x = 526.55

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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.