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Finding the Fourth Proportional to 342.98, 512.96 and 306.71

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Solution

The fourth proportional to 342.98, 512.96 and 306.71 is: 458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 512.96 = 306.71 : x
  2. Step 2: Convert to fraction form
    342.98/512.96 = 306.71/x
  3. Step 3: Cross multiply
    342.98x = 512.96 × 306.71
  4. Step 4: Simplify right side
    342.98x = 157,325.86
  5. Step 5: Solve for x
    x = 157,325.86/342.98
  6. Step 6: Final answer
    x = 458.71

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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.