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Finding the Fourth Proportional to 655.11, 982.24 and 362.77

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Solution

The fourth proportional to 655.11, 982.24 and 362.77 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.11 : 982.24 = 362.77 : x
  2. Step 2: Convert to fraction form
    655.11/982.24 = 362.77/x
  3. Step 3: Cross multiply
    655.11x = 982.24 × 362.77
  4. Step 4: Simplify right side
    655.11x = 356,327.20
  5. Step 5: Solve for x
    x = 356,327.20/655.11
  6. Step 6: Final answer
    x = 543.92

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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.