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Finding the Fourth Proportional to 655.59, 981.36 and 410.97

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Solution

The fourth proportional to 655.59, 981.36 and 410.97 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.59 : 981.36 = 410.97 : x
  2. Step 2: Convert to fraction form
    655.59/981.36 = 410.97/x
  3. Step 3: Cross multiply
    655.59x = 981.36 × 410.97
  4. Step 4: Simplify right side
    655.59x = 403,309.52
  5. Step 5: Solve for x
    x = 403,309.52/655.59
  6. Step 6: Final answer
    x = 615.19

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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.