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Finding the Fourth Proportional to 377.49, 520.85 and 220.08

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Solution

The fourth proportional to 377.49, 520.85 and 220.08 is: 303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.49 : 520.85 = 220.08 : x
  2. Step 2: Convert to fraction form
    377.49/520.85 = 220.08/x
  3. Step 3: Cross multiply
    377.49x = 520.85 × 220.08
  4. Step 4: Simplify right side
    377.49x = 114,627.57
  5. Step 5: Solve for x
    x = 114,627.57/377.49
  6. Step 6: Final answer
    x = 303.66

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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.