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Finding the Fourth Proportional to 630.54, 869.90 and 381.86

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Solution

The fourth proportional to 630.54, 869.90 and 381.86 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 869.90 = 381.86 : x
  2. Step 2: Convert to fraction form
    630.54/869.90 = 381.86/x
  3. Step 3: Cross multiply
    630.54x = 869.90 × 381.86
  4. Step 4: Simplify right side
    630.54x = 332,180.01
  5. Step 5: Solve for x
    x = 332,180.01/630.54
  6. Step 6: Final answer
    x = 526.82

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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.