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Finding the Fourth Proportional to 296.52, 446.82 and 246.29

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Solution

The fourth proportional to 296.52, 446.82 and 246.29 is: 371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 446.82 = 246.29 : x
  2. Step 2: Convert to fraction form
    296.52/446.82 = 246.29/x
  3. Step 3: Cross multiply
    296.52x = 446.82 × 246.29
  4. Step 4: Simplify right side
    296.52x = 110,047.30
  5. Step 5: Solve for x
    x = 110,047.30/296.52
  6. Step 6: Final answer
    x = 371.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.