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Finding the Fourth Proportional to 337.52, 465.96 and 213.40

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Solution

The fourth proportional to 337.52, 465.96 and 213.40 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.52 : 465.96 = 213.40 : x
  2. Step 2: Convert to fraction form
    337.52/465.96 = 213.40/x
  3. Step 3: Cross multiply
    337.52x = 465.96 × 213.40
  4. Step 4: Simplify right side
    337.52x = 99,435.86
  5. Step 5: Solve for x
    x = 99,435.86/337.52
  6. Step 6: Final answer
    x = 294.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.