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Finding the Fourth Proportional to 291.12, 437.22 and 261.41

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Solution

The fourth proportional to 291.12, 437.22 and 261.41 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 437.22 = 261.41 : x
  2. Step 2: Convert to fraction form
    291.12/437.22 = 261.41/x
  3. Step 3: Cross multiply
    291.12x = 437.22 × 261.41
  4. Step 4: Simplify right side
    291.12x = 114,291.49
  5. Step 5: Solve for x
    x = 114,291.49/291.12
  6. Step 6: Final answer
    x = 392.59

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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.