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Finding the Fourth Proportional to 514.13, 709.49 and 307.13

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Solution

The fourth proportional to 514.13, 709.49 and 307.13 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 709.49 = 307.13 : x
  2. Step 2: Convert to fraction form
    514.13/709.49 = 307.13/x
  3. Step 3: Cross multiply
    514.13x = 709.49 × 307.13
  4. Step 4: Simplify right side
    514.13x = 217,902.88
  5. Step 5: Solve for x
    x = 217,902.88/514.13
  6. Step 6: Final answer
    x = 423.83

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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.