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Finding the Fourth Proportional to 526.90, 726.80 and 379.73

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Solution

The fourth proportional to 526.90, 726.80 and 379.73 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.90 : 726.80 = 379.73 : x
  2. Step 2: Convert to fraction form
    526.90/726.80 = 379.73/x
  3. Step 3: Cross multiply
    526.90x = 726.80 × 379.73
  4. Step 4: Simplify right side
    526.90x = 275,987.76
  5. Step 5: Solve for x
    x = 275,987.76/526.90
  6. Step 6: Final answer
    x = 523.80

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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.