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Finding the Fourth Proportional to 655.34, 982.87 and 233.25

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Solution

The fourth proportional to 655.34, 982.87 and 233.25 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.34 : 982.87 = 233.25 : x
  2. Step 2: Convert to fraction form
    655.34/982.87 = 233.25/x
  3. Step 3: Cross multiply
    655.34x = 982.87 × 233.25
  4. Step 4: Simplify right side
    655.34x = 229,248.35
  5. Step 5: Solve for x
    x = 229,248.35/655.34
  6. Step 6: Final answer
    x = 349.82

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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.