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Finding the Fourth Proportional to 294.25, 438.27 and 278.83

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Solution

The fourth proportional to 294.25, 438.27 and 278.83 is: 415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.25 : 438.27 = 278.83 : x
  2. Step 2: Convert to fraction form
    294.25/438.27 = 278.83/x
  3. Step 3: Cross multiply
    294.25x = 438.27 × 278.83
  4. Step 4: Simplify right side
    294.25x = 122,201.43
  5. Step 5: Solve for x
    x = 122,201.43/294.25
  6. Step 6: Final answer
    x = 415.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.