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Finding the Fourth Proportional to 491.81, 737.71 and 231.72

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Solution

The fourth proportional to 491.81, 737.71 and 231.72 is: 347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 737.71 = 231.72 : x
  2. Step 2: Convert to fraction form
    491.81/737.71 = 231.72/x
  3. Step 3: Cross multiply
    491.81x = 737.71 × 231.72
  4. Step 4: Simplify right side
    491.81x = 170,941.00
  5. Step 5: Solve for x
    x = 170,941.00/491.81
  6. Step 6: Final answer
    x = 347.58

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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.