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Finding the Fourth Proportional to 860.08, 1,290.18 and 243.84

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Solution

The fourth proportional to 860.08, 1,290.18 and 243.84 is: 365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.08 : 1,290.18 = 243.84 : x
  2. Step 2: Convert to fraction form
    860.08/1,290.18 = 243.84/x
  3. Step 3: Cross multiply
    860.08x = 1,290.18 × 243.84
  4. Step 4: Simplify right side
    860.08x = 314,597.49
  5. Step 5: Solve for x
    x = 314,597.49/860.08
  6. Step 6: Final answer
    x = 365.78

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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.