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Finding the Fourth Proportional to 291.34, 437.16 and 289.12

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Solution

The fourth proportional to 291.34, 437.16 and 289.12 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 437.16 = 289.12 : x
  2. Step 2: Convert to fraction form
    291.34/437.16 = 289.12/x
  3. Step 3: Cross multiply
    291.34x = 437.16 × 289.12
  4. Step 4: Simplify right side
    291.34x = 126,391.70
  5. Step 5: Solve for x
    x = 126,391.70/291.34
  6. Step 6: Final answer
    x = 433.83

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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.