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Finding the Fourth Proportional to 294.15, 404.95 and 255.34

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Solution

The fourth proportional to 294.15, 404.95 and 255.34 is: 351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.15 : 404.95 = 255.34 : x
  2. Step 2: Convert to fraction form
    294.15/404.95 = 255.34/x
  3. Step 3: Cross multiply
    294.15x = 404.95 × 255.34
  4. Step 4: Simplify right side
    294.15x = 103,396.63
  5. Step 5: Solve for x
    x = 103,396.63/294.15
  6. Step 6: Final answer
    x = 351.51

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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.