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Finding the Fourth Proportional to 950.28, 1,425.36 and 292.12

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Solution

The fourth proportional to 950.28, 1,425.36 and 292.12 is: 438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.28 : 1,425.36 = 292.12 : x
  2. Step 2: Convert to fraction form
    950.28/1,425.36 = 292.12/x
  3. Step 3: Cross multiply
    950.28x = 1,425.36 × 292.12
  4. Step 4: Simplify right side
    950.28x = 416,381.71
  5. Step 5: Solve for x
    x = 416,381.71/950.28
  6. Step 6: Final answer
    x = 438.17

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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.