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Finding the Fourth Proportional to 377.31, 520.89 and 294.22

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Solution

The fourth proportional to 377.31, 520.89 and 294.22 is: 406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.31 : 520.89 = 294.22 : x
  2. Step 2: Convert to fraction form
    377.31/520.89 = 294.22/x
  3. Step 3: Cross multiply
    377.31x = 520.89 × 294.22
  4. Step 4: Simplify right side
    377.31x = 153,256.26
  5. Step 5: Solve for x
    x = 153,256.26/377.31
  6. Step 6: Final answer
    x = 406.18

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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.