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Finding the Fourth Proportional to 630.49, 869.66 and 381.88

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Solution

The fourth proportional to 630.49, 869.66 and 381.88 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.49 : 869.66 = 381.88 : x
  2. Step 2: Convert to fraction form
    630.49/869.66 = 381.88/x
  3. Step 3: Cross multiply
    630.49x = 869.66 × 381.88
  4. Step 4: Simplify right side
    630.49x = 332,103.85
  5. Step 5: Solve for x
    x = 332,103.85/630.49
  6. Step 6: Final answer
    x = 526.74

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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.