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Finding the Fourth Proportional to 534.52, 800.92 and 514.28

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Solution

The fourth proportional to 534.52, 800.92 and 514.28 is: 770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.52 : 800.92 = 514.28 : x
  2. Step 2: Convert to fraction form
    534.52/800.92 = 514.28/x
  3. Step 3: Cross multiply
    534.52x = 800.92 × 514.28
  4. Step 4: Simplify right side
    534.52x = 411,897.14
  5. Step 5: Solve for x
    x = 411,897.14/534.52
  6. Step 6: Final answer
    x = 770.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.