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Finding the Fourth Proportional to 377.92, 565.34 and 319.78

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Solution

The fourth proportional to 377.92, 565.34 and 319.78 is: 478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.92 : 565.34 = 319.78 : x
  2. Step 2: Convert to fraction form
    377.92/565.34 = 319.78/x
  3. Step 3: Cross multiply
    377.92x = 565.34 × 319.78
  4. Step 4: Simplify right side
    377.92x = 180,784.43
  5. Step 5: Solve for x
    x = 180,784.43/377.92
  6. Step 6: Final answer
    x = 478.37

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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.