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Finding the Fourth Proportional to 296.85, 410.06 and 232.20

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Solution

The fourth proportional to 296.85, 410.06 and 232.20 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.85 : 410.06 = 232.20 : x
  2. Step 2: Convert to fraction form
    296.85/410.06 = 232.20/x
  3. Step 3: Cross multiply
    296.85x = 410.06 × 232.20
  4. Step 4: Simplify right side
    296.85x = 95,214.77
  5. Step 5: Solve for x
    x = 95,214.77/296.85
  6. Step 6: Final answer
    x = 320.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.