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Finding the Fourth Proportional to 527.01, 726.91 and 379.86

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Solution

The fourth proportional to 527.01, 726.91 and 379.86 is: 523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.01 : 726.91 = 379.86 : x
  2. Step 2: Convert to fraction form
    527.01/726.91 = 379.86/x
  3. Step 3: Cross multiply
    527.01x = 726.91 × 379.86
  4. Step 4: Simplify right side
    527.01x = 276,124.03
  5. Step 5: Solve for x
    x = 276,124.03/527.01
  6. Step 6: Final answer
    x = 523.94

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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.