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Finding the Fourth Proportional to 337.04, 505.85 and 214.91

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Solution

The fourth proportional to 337.04, 505.85 and 214.91 is: 322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.04 : 505.85 = 214.91 : x
  2. Step 2: Convert to fraction form
    337.04/505.85 = 214.91/x
  3. Step 3: Cross multiply
    337.04x = 505.85 × 214.91
  4. Step 4: Simplify right side
    337.04x = 108,708.62
  5. Step 5: Solve for x
    x = 108,708.62/337.04
  6. Step 6: Final answer
    x = 322.54

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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.