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Finding the Fourth Proportional to 515.26, 772.32 and 207.10

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Solution

The fourth proportional to 515.26, 772.32 and 207.10 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.26 : 772.32 = 207.10 : x
  2. Step 2: Convert to fraction form
    515.26/772.32 = 207.10/x
  3. Step 3: Cross multiply
    515.26x = 772.32 × 207.10
  4. Step 4: Simplify right side
    515.26x = 159,947.47
  5. Step 5: Solve for x
    x = 159,947.47/515.26
  6. Step 6: Final answer
    x = 310.42

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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.