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Finding the Fourth Proportional to 655.87, 982.90 and 362.93

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Solution

The fourth proportional to 655.87, 982.90 and 362.93 is: 543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.87 : 982.90 = 362.93 : x
  2. Step 2: Convert to fraction form
    655.87/982.90 = 362.93/x
  3. Step 3: Cross multiply
    655.87x = 982.90 × 362.93
  4. Step 4: Simplify right side
    655.87x = 356,722.08
  5. Step 5: Solve for x
    x = 356,722.08/655.87
  6. Step 6: Final answer
    x = 543.90

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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.