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Finding the Fourth Proportional to 377.25, 520.82 and 294.18

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Solution

The fourth proportional to 377.25, 520.82 and 294.18 is: 406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.25 : 520.82 = 294.18 : x
  2. Step 2: Convert to fraction form
    377.25/520.82 = 294.18/x
  3. Step 3: Cross multiply
    377.25x = 520.82 × 294.18
  4. Step 4: Simplify right side
    377.25x = 153,214.46
  5. Step 5: Solve for x
    x = 153,214.46/377.25
  6. Step 6: Final answer
    x = 406.14

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