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Finding the Fourth Proportional to 311.71, 465.48 and 293.71

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Solution

The fourth proportional to 311.71, 465.48 and 293.71 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.71 : 465.48 = 293.71 : x
  2. Step 2: Convert to fraction form
    311.71/465.48 = 293.71/x
  3. Step 3: Cross multiply
    311.71x = 465.48 × 293.71
  4. Step 4: Simplify right side
    311.71x = 136,716.13
  5. Step 5: Solve for x
    x = 136,716.13/311.71
  6. Step 6: Final answer
    x = 438.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.