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Finding the Fourth Proportional to 347.67, 480.26 and 292.99

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Solution

The fourth proportional to 347.67, 480.26 and 292.99 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.67 : 480.26 = 292.99 : x
  2. Step 2: Convert to fraction form
    347.67/480.26 = 292.99/x
  3. Step 3: Cross multiply
    347.67x = 480.26 × 292.99
  4. Step 4: Simplify right side
    347.67x = 140,711.38
  5. Step 5: Solve for x
    x = 140,711.38/347.67
  6. Step 6: Final answer
    x = 404.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.