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Finding the Fourth Proportional to 514.17, 709.52 and 339.57

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Solution

The fourth proportional to 514.17, 709.52 and 339.57 is: 468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.17 : 709.52 = 339.57 : x
  2. Step 2: Convert to fraction form
    514.17/709.52 = 339.57/x
  3. Step 3: Cross multiply
    514.17x = 709.52 × 339.57
  4. Step 4: Simplify right side
    514.17x = 240,930.01
  5. Step 5: Solve for x
    x = 240,930.01/514.17
  6. Step 6: Final answer
    x = 468.58

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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.