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Finding the Fourth Proportional to 377.04, 520.08 and 227.60

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Solution

The fourth proportional to 377.04, 520.08 and 227.60 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.04 : 520.08 = 227.60 : x
  2. Step 2: Convert to fraction form
    377.04/520.08 = 227.60/x
  3. Step 3: Cross multiply
    377.04x = 520.08 × 227.60
  4. Step 4: Simplify right side
    377.04x = 118,370.21
  5. Step 5: Solve for x
    x = 118,370.21/377.04
  6. Step 6: Final answer
    x = 313.95

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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.