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Finding the Fourth Proportional to 543.28, 749.80 and 526.28

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Solution

The fourth proportional to 543.28, 749.80 and 526.28 is: 726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.28 : 749.80 = 526.28 : x
  2. Step 2: Convert to fraction form
    543.28/749.80 = 526.28/x
  3. Step 3: Cross multiply
    543.28x = 749.80 × 526.28
  4. Step 4: Simplify right side
    543.28x = 394,604.74
  5. Step 5: Solve for x
    x = 394,604.74/543.28
  6. Step 6: Final answer
    x = 726.34

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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.