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Finding the Fourth Proportional to 592.40, 889 and 267.80

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Solution

The fourth proportional to 592.40, 889 and 267.80 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.40 : 889 = 267.80 : x
  2. Step 2: Convert to fraction form
    592.40/889 = 267.80/x
  3. Step 3: Cross multiply
    592.40x = 889 × 267.80
  4. Step 4: Simplify right side
    592.40x = 238,074.20
  5. Step 5: Solve for x
    x = 238,074.20/592.40
  6. Step 6: Final answer
    x = 401.88

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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.