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Finding the Fourth Proportional to 296.17, 443.84 and 235.49

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Solution

The fourth proportional to 296.17, 443.84 and 235.49 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.17 : 443.84 = 235.49 : x
  2. Step 2: Convert to fraction form
    296.17/443.84 = 235.49/x
  3. Step 3: Cross multiply
    296.17x = 443.84 × 235.49
  4. Step 4: Simplify right side
    296.17x = 104,518.70
  5. Step 5: Solve for x
    x = 104,518.70/296.17
  6. Step 6: Final answer
    x = 352.91

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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.