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Finding the Fourth Proportional to 307.74, 462.57 and 243.90

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Solution

The fourth proportional to 307.74, 462.57 and 243.90 is: 366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.74 : 462.57 = 243.90 : x
  2. Step 2: Convert to fraction form
    307.74/462.57 = 243.90/x
  3. Step 3: Cross multiply
    307.74x = 462.57 × 243.90
  4. Step 4: Simplify right side
    307.74x = 112,820.82
  5. Step 5: Solve for x
    x = 112,820.82/307.74
  6. Step 6: Final answer
    x = 366.61

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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.