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Finding the Fourth Proportional to 542.08, 743.24 and 514.24

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Solution

The fourth proportional to 542.08, 743.24 and 514.24 is: 705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 743.24 = 514.24 : x
  2. Step 2: Convert to fraction form
    542.08/743.24 = 514.24/x
  3. Step 3: Cross multiply
    542.08x = 743.24 × 514.24
  4. Step 4: Simplify right side
    542.08x = 382,203.74
  5. Step 5: Solve for x
    x = 382,203.74/542.08
  6. Step 6: Final answer
    x = 705.07

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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.