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Finding the Fourth Proportional to 291.84, 437.76 and 75.41

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Solution

The fourth proportional to 291.84, 437.76 and 75.41 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 437.76 = 75.41 : x
  2. Step 2: Convert to fraction form
    291.84/437.76 = 75.41/x
  3. Step 3: Cross multiply
    291.84x = 437.76 × 75.41
  4. Step 4: Simplify right side
    291.84x = 33,011.48
  5. Step 5: Solve for x
    x = 33,011.48/291.84
  6. Step 6: Final answer
    x = 113.12

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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.