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Finding the Fourth Proportional to 291.74, 437.60 and 75.32

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Solution

The fourth proportional to 291.74, 437.60 and 75.32 is: 112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.74 : 437.60 = 75.32 : x
  2. Step 2: Convert to fraction form
    291.74/437.60 = 75.32/x
  3. Step 3: Cross multiply
    291.74x = 437.60 × 75.32
  4. Step 4: Simplify right side
    291.74x = 32,960.03
  5. Step 5: Solve for x
    x = 32,960.03/291.74
  6. Step 6: Final answer
    x = 112.98

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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.