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Finding the Fourth Proportional to 377.84, 520.96 and 294.61

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Solution

The fourth proportional to 377.84, 520.96 and 294.61 is: 406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 520.96 = 294.61 : x
  2. Step 2: Convert to fraction form
    377.84/520.96 = 294.61/x
  3. Step 3: Cross multiply
    377.84x = 520.96 × 294.61
  4. Step 4: Simplify right side
    377.84x = 153,480.03
  5. Step 5: Solve for x
    x = 153,480.03/377.84
  6. Step 6: Final answer
    x = 406.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.