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Finding the Fourth Proportional to 377, 520.29 and 221.78

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Solution

The fourth proportional to 377, 520.29 and 221.78 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 520.29 = 221.78 : x
  2. Step 2: Convert to fraction form
    377/520.29 = 221.78/x
  3. Step 3: Cross multiply
    377x = 520.29 × 221.78
  4. Step 4: Simplify right side
    377x = 115,389.92
  5. Step 5: Solve for x
    x = 115,389.92/377
  6. Step 6: Final answer
    x = 306.07

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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.