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Finding the Fourth Proportional to 378.70, 567.49 and 337.66

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Solution

The fourth proportional to 378.70, 567.49 and 337.66 is: 505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.70 : 567.49 = 337.66 : x
  2. Step 2: Convert to fraction form
    378.70/567.49 = 337.66/x
  3. Step 3: Cross multiply
    378.70x = 567.49 × 337.66
  4. Step 4: Simplify right side
    378.70x = 191,618.67
  5. Step 5: Solve for x
    x = 191,618.67/378.70
  6. Step 6: Final answer
    x = 505.99

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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.