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Finding the Fourth Proportional to 534.24, 730.44 and 514.08

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Solution

The fourth proportional to 534.24, 730.44 and 514.08 is: 702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 730.44 = 514.08 : x
  2. Step 2: Convert to fraction form
    534.24/730.44 = 514.08/x
  3. Step 3: Cross multiply
    534.24x = 730.44 × 514.08
  4. Step 4: Simplify right side
    534.24x = 375,504.60
  5. Step 5: Solve for x
    x = 375,504.60/534.24
  6. Step 6: Final answer
    x = 702.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.