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Finding the Fourth Proportional to 514, 709.36 and 339.52

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Solution

The fourth proportional to 514, 709.36 and 339.52 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 709.36 = 339.52 : x
  2. Step 2: Convert to fraction form
    514/709.36 = 339.52/x
  3. Step 3: Cross multiply
    514x = 709.36 × 339.52
  4. Step 4: Simplify right side
    514x = 240,841.91
  5. Step 5: Solve for x
    x = 240,841.91/514
  6. Step 6: Final answer
    x = 468.56

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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.