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Finding the Fourth Proportional to 592.62, 888.66 and 267.78

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Solution

The fourth proportional to 592.62, 888.66 and 267.78 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 888.66 = 267.78 : x
  2. Step 2: Convert to fraction form
    592.62/888.66 = 267.78/x
  3. Step 3: Cross multiply
    592.62x = 888.66 × 267.78
  4. Step 4: Simplify right side
    592.62x = 237,965.37
  5. Step 5: Solve for x
    x = 237,965.37/592.62
  6. Step 6: Final answer
    x = 401.55

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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.