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Finding the Fourth Proportional to 337.20, 508.11 and 277.66

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Solution

The fourth proportional to 337.20, 508.11 and 277.66 is: 418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.20 : 508.11 = 277.66 : x
  2. Step 2: Convert to fraction form
    337.20/508.11 = 277.66/x
  3. Step 3: Cross multiply
    337.20x = 508.11 × 277.66
  4. Step 4: Simplify right side
    337.20x = 141,081.42
  5. Step 5: Solve for x
    x = 141,081.42/337.20
  6. Step 6: Final answer
    x = 418.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.