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Finding the Fourth Proportional to 296.64, 443.88 and 231.84

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Solution

The fourth proportional to 296.64, 443.88 and 231.84 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 443.88 = 231.84 : x
  2. Step 2: Convert to fraction form
    296.64/443.88 = 231.84/x
  3. Step 3: Cross multiply
    296.64x = 443.88 × 231.84
  4. Step 4: Simplify right side
    296.64x = 102,909.14
  5. Step 5: Solve for x
    x = 102,909.14/296.64
  6. Step 6: Final answer
    x = 346.92

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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.