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Finding the Fourth Proportional to 291.76, 435.65 and 230.20

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Solution

The fourth proportional to 291.76, 435.65 and 230.20 is: 343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 435.65 = 230.20 : x
  2. Step 2: Convert to fraction form
    291.76/435.65 = 230.20/x
  3. Step 3: Cross multiply
    291.76x = 435.65 × 230.20
  4. Step 4: Simplify right side
    291.76x = 100,286.63
  5. Step 5: Solve for x
    x = 100,286.63/291.76
  6. Step 6: Final answer
    x = 343.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.