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Finding the Fourth Proportional to 515.29, 773.24 and 207.10

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Solution

The fourth proportional to 515.29, 773.24 and 207.10 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.29 : 773.24 = 207.10 : x
  2. Step 2: Convert to fraction form
    515.29/773.24 = 207.10/x
  3. Step 3: Cross multiply
    515.29x = 773.24 × 207.10
  4. Step 4: Simplify right side
    515.29x = 160,138.00
  5. Step 5: Solve for x
    x = 160,138.00/515.29
  6. Step 6: Final answer
    x = 310.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.