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Finding the Fourth Proportional to 948.20, 1,422.39 and 298.93

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Solution

The fourth proportional to 948.20, 1,422.39 and 298.93 is: 448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.20 : 1,422.39 = 298.93 : x
  2. Step 2: Convert to fraction form
    948.20/1,422.39 = 298.93/x
  3. Step 3: Cross multiply
    948.20x = 1,422.39 × 298.93
  4. Step 4: Simplify right side
    948.20x = 425,195.04
  5. Step 5: Solve for x
    x = 425,195.04/948.20
  6. Step 6: Final answer
    x = 448.42

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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.