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Finding the Fourth Proportional to 291.76, 402.78 and 233.44

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Solution

The fourth proportional to 291.76, 402.78 and 233.44 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 402.78 = 233.44 : x
  2. Step 2: Convert to fraction form
    291.76/402.78 = 233.44/x
  3. Step 3: Cross multiply
    291.76x = 402.78 × 233.44
  4. Step 4: Simplify right side
    291.76x = 94,024.96
  5. Step 5: Solve for x
    x = 94,024.96/291.76
  6. Step 6: Final answer
    x = 322.27

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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.