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Finding the Fourth Proportional to 491.92, 737.72 and 231.88

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Solution

The fourth proportional to 491.92, 737.72 and 231.88 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.92 : 737.72 = 231.88 : x
  2. Step 2: Convert to fraction form
    491.92/737.72 = 231.88/x
  3. Step 3: Cross multiply
    491.92x = 737.72 × 231.88
  4. Step 4: Simplify right side
    491.92x = 171,062.51
  5. Step 5: Solve for x
    x = 171,062.51/491.92
  6. Step 6: Final answer
    x = 347.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.