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Finding the Fourth Proportional to 514.50, 708.38 and 439.66

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Solution

The fourth proportional to 514.50, 708.38 and 439.66 is: 605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 708.38 = 439.66 : x
  2. Step 2: Convert to fraction form
    514.50/708.38 = 439.66/x
  3. Step 3: Cross multiply
    514.50x = 708.38 × 439.66
  4. Step 4: Simplify right side
    514.50x = 311,446.35
  5. Step 5: Solve for x
    x = 311,446.35/514.50
  6. Step 6: Final answer
    x = 605.34

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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.