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Finding the Fourth Proportional to 380.96, 568.56 and 337.76

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Solution

The fourth proportional to 380.96, 568.56 and 337.76 is: 504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 568.56 = 337.76 : x
  2. Step 2: Convert to fraction form
    380.96/568.56 = 337.76/x
  3. Step 3: Cross multiply
    380.96x = 568.56 × 337.76
  4. Step 4: Simplify right side
    380.96x = 192,036.83
  5. Step 5: Solve for x
    x = 192,036.83/380.96
  6. Step 6: Final answer
    x = 504.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.