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Finding the Fourth Proportional to 278.62, 384.28 and 258.14

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Solution

The fourth proportional to 278.62, 384.28 and 258.14 is: 356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 384.28 = 258.14 : x
  2. Step 2: Convert to fraction form
    278.62/384.28 = 258.14/x
  3. Step 3: Cross multiply
    278.62x = 384.28 × 258.14
  4. Step 4: Simplify right side
    278.62x = 99,198.35
  5. Step 5: Solve for x
    x = 99,198.35/278.62
  6. Step 6: Final answer
    x = 356.04

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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.