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Finding the Fourth Proportional to 337.57, 505.20 and 214.12

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Solution

The fourth proportional to 337.57, 505.20 and 214.12 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.57 : 505.20 = 214.12 : x
  2. Step 2: Convert to fraction form
    337.57/505.20 = 214.12/x
  3. Step 3: Cross multiply
    337.57x = 505.20 × 214.12
  4. Step 4: Simplify right side
    337.57x = 108,173.42
  5. Step 5: Solve for x
    x = 108,173.42/337.57
  6. Step 6: Final answer
    x = 320.45

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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.