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Finding the Fourth Proportional to 655.12, 983.10 and 381.75

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Solution

The fourth proportional to 655.12, 983.10 and 381.75 is: 572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.12 : 983.10 = 381.75 : x
  2. Step 2: Convert to fraction form
    655.12/983.10 = 381.75/x
  3. Step 3: Cross multiply
    655.12x = 983.10 × 381.75
  4. Step 4: Simplify right side
    655.12x = 375,296.17
  5. Step 5: Solve for x
    x = 375,296.17/655.12
  6. Step 6: Final answer
    x = 572.87

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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.