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Finding the Fourth Proportional to 294.95, 408.93 and 278.55

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Solution

The fourth proportional to 294.95, 408.93 and 278.55 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.95 : 408.93 = 278.55 : x
  2. Step 2: Convert to fraction form
    294.95/408.93 = 278.55/x
  3. Step 3: Cross multiply
    294.95x = 408.93 × 278.55
  4. Step 4: Simplify right side
    294.95x = 113,906.41
  5. Step 5: Solve for x
    x = 113,906.41/294.95
  6. Step 6: Final answer
    x = 386.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.