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Finding the Fourth Proportional to 294.84, 443.16 and 234

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Solution

The fourth proportional to 294.84, 443.16 and 234 is: 351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 443.16 = 234 : x
  2. Step 2: Convert to fraction form
    294.84/443.16 = 234/x
  3. Step 3: Cross multiply
    294.84x = 443.16 × 234
  4. Step 4: Simplify right side
    294.84x = 103,699.44
  5. Step 5: Solve for x
    x = 103,699.44/294.84
  6. Step 6: Final answer
    x = 351.71

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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.