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Finding the Fourth Proportional to 291.17, 437.84 and 268.49

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Solution

The fourth proportional to 291.17, 437.84 and 268.49 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.17 : 437.84 = 268.49 : x
  2. Step 2: Convert to fraction form
    291.17/437.84 = 268.49/x
  3. Step 3: Cross multiply
    291.17x = 437.84 × 268.49
  4. Step 4: Simplify right side
    291.17x = 117,556.42
  5. Step 5: Solve for x
    x = 117,556.42/291.17
  6. Step 6: Final answer
    x = 403.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.