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Finding the Fourth Proportional to 514.17, 708.82 and 381.20

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Solution

The fourth proportional to 514.17, 708.82 and 381.20 is: 525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.17 : 708.82 = 381.20 : x
  2. Step 2: Convert to fraction form
    514.17/708.82 = 381.20/x
  3. Step 3: Cross multiply
    514.17x = 708.82 × 381.20
  4. Step 4: Simplify right side
    514.17x = 270,197.69
  5. Step 5: Solve for x
    x = 270,197.69/514.17
  6. Step 6: Final answer
    x = 525.50

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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.