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Finding the Fourth Proportional to 291.77, 403.38 and 221.72

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Solution

The fourth proportional to 291.77, 403.38 and 221.72 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.77 : 403.38 = 221.72 : x
  2. Step 2: Convert to fraction form
    291.77/403.38 = 221.72/x
  3. Step 3: Cross multiply
    291.77x = 403.38 × 221.72
  4. Step 4: Simplify right side
    291.77x = 89,435.40
  5. Step 5: Solve for x
    x = 89,435.40/291.77
  6. Step 6: Final answer
    x = 306.53

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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.