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Finding the Fourth Proportional to 655.13, 982.98 and 346.91

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Solution

The fourth proportional to 655.13, 982.98 and 346.91 is: 520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.13 : 982.98 = 346.91 : x
  2. Step 2: Convert to fraction form
    655.13/982.98 = 346.91/x
  3. Step 3: Cross multiply
    655.13x = 982.98 × 346.91
  4. Step 4: Simplify right side
    655.13x = 341,000.68
  5. Step 5: Solve for x
    x = 341,000.68/655.13
  6. Step 6: Final answer
    x = 520.51

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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.