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Finding the Fourth Proportional to 655.65, 982.94 and 347.85

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Solution

The fourth proportional to 655.65, 982.94 and 347.85 is: 521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.65 : 982.94 = 347.85 : x
  2. Step 2: Convert to fraction form
    655.65/982.94 = 347.85/x
  3. Step 3: Cross multiply
    655.65x = 982.94 × 347.85
  4. Step 4: Simplify right side
    655.65x = 341,913.94
  5. Step 5: Solve for x
    x = 341,913.94/655.65
  6. Step 6: Final answer
    x = 521.49

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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.