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Finding the Fourth Proportional to 514.62, 708.12 and 500.26

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Solution

The fourth proportional to 514.62, 708.12 and 500.26 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.62 : 708.12 = 500.26 : x
  2. Step 2: Convert to fraction form
    514.62/708.12 = 500.26/x
  3. Step 3: Cross multiply
    514.62x = 708.12 × 500.26
  4. Step 4: Simplify right side
    514.62x = 354,241.61
  5. Step 5: Solve for x
    x = 354,241.61/514.62
  6. Step 6: Final answer
    x = 688.36

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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.