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Finding the Fourth Proportional to 948.28, 1,422.39 and 264.28

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Solution

The fourth proportional to 948.28, 1,422.39 and 264.28 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.28 : 1,422.39 = 264.28 : x
  2. Step 2: Convert to fraction form
    948.28/1,422.39 = 264.28/x
  3. Step 3: Cross multiply
    948.28x = 1,422.39 × 264.28
  4. Step 4: Simplify right side
    948.28x = 375,909.23
  5. Step 5: Solve for x
    x = 375,909.23/948.28
  6. Step 6: Final answer
    x = 396.41

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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.