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Finding the Fourth Proportional to 514.56, 706.20 and 500.16

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Solution

The fourth proportional to 514.56, 706.20 and 500.16 is: 686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 706.20 = 500.16 : x
  2. Step 2: Convert to fraction form
    514.56/706.20 = 500.16/x
  3. Step 3: Cross multiply
    514.56x = 706.20 × 500.16
  4. Step 4: Simplify right side
    514.56x = 353,212.99
  5. Step 5: Solve for x
    x = 353,212.99/514.56
  6. Step 6: Final answer
    x = 686.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.