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Finding the Fourth Proportional to 337.10, 506.42 and 214.08

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Solution

The fourth proportional to 337.10, 506.42 and 214.08 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.10 : 506.42 = 214.08 : x
  2. Step 2: Convert to fraction form
    337.10/506.42 = 214.08/x
  3. Step 3: Cross multiply
    337.10x = 506.42 × 214.08
  4. Step 4: Simplify right side
    337.10x = 108,413.32
  5. Step 5: Solve for x
    x = 108,413.32/337.10
  6. Step 6: Final answer
    x = 321.61

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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.