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Finding the Fourth Proportional to 922.97, 1,384.86 and 306.76

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Solution

The fourth proportional to 922.97, 1,384.86 and 306.76 is: 460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.97 : 1,384.86 = 306.76 : x
  2. Step 2: Convert to fraction form
    922.97/1,384.86 = 306.76/x
  3. Step 3: Cross multiply
    922.97x = 1,384.86 × 306.76
  4. Step 4: Simplify right side
    922.97x = 424,819.65
  5. Step 5: Solve for x
    x = 424,819.65/922.97
  6. Step 6: Final answer
    x = 460.27

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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.