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Finding the Fourth Proportional to 377.54, 520.71 and 294.38

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Solution

The fourth proportional to 377.54, 520.71 and 294.38 is: 406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.54 : 520.71 = 294.38 : x
  2. Step 2: Convert to fraction form
    377.54/520.71 = 294.38/x
  3. Step 3: Cross multiply
    377.54x = 520.71 × 294.38
  4. Step 4: Simplify right side
    377.54x = 153,286.61
  5. Step 5: Solve for x
    x = 153,286.61/377.54
  6. Step 6: Final answer
    x = 406.01

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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.