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Finding the Fourth Proportional to 514.32, 709.50 and 339.66

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Solution

The fourth proportional to 514.32, 709.50 and 339.66 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.32 : 709.50 = 339.66 : x
  2. Step 2: Convert to fraction form
    514.32/709.50 = 339.66/x
  3. Step 3: Cross multiply
    514.32x = 709.50 × 339.66
  4. Step 4: Simplify right side
    514.32x = 240,988.77
  5. Step 5: Solve for x
    x = 240,988.77/514.32
  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.