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Finding the Fourth Proportional to 921.46, 1,382.28 and 296.53

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Solution

The fourth proportional to 921.46, 1,382.28 and 296.53 is: 444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.46 : 1,382.28 = 296.53 : x
  2. Step 2: Convert to fraction form
    921.46/1,382.28 = 296.53/x
  3. Step 3: Cross multiply
    921.46x = 1,382.28 × 296.53
  4. Step 4: Simplify right side
    921.46x = 409,886.01
  5. Step 5: Solve for x
    x = 409,886.01/921.46
  6. Step 6: Final answer
    x = 444.82

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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.