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Finding the Fourth Proportional to 922, 1,382.76 and 337.30

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Solution

The fourth proportional to 922, 1,382.76 and 337.30 is: 505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922 : 1,382.76 = 337.30 : x
  2. Step 2: Convert to fraction form
    922/1,382.76 = 337.30/x
  3. Step 3: Cross multiply
    922x = 1,382.76 × 337.30
  4. Step 4: Simplify right side
    922x = 466,404.95
  5. Step 5: Solve for x
    x = 466,404.95/922
  6. Step 6: Final answer
    x = 505.86

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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.