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Finding the Fourth Proportional to 921.88, 1,382.68 and 306.01

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Solution

The fourth proportional to 921.88, 1,382.68 and 306.01 is: 458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,382.68 = 306.01 : x
  2. Step 2: Convert to fraction form
    921.88/1,382.68 = 306.01/x
  3. Step 3: Cross multiply
    921.88x = 1,382.68 × 306.01
  4. Step 4: Simplify right side
    921.88x = 423,113.91
  5. Step 5: Solve for x
    x = 423,113.91/921.88
  6. Step 6: Final answer
    x = 458.97

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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.