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Finding the Fourth Proportional to 865.56, 1,298.34 and 288.44

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Solution

The fourth proportional to 865.56, 1,298.34 and 288.44 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.56 : 1,298.34 = 288.44 : x
  2. Step 2: Convert to fraction form
    865.56/1,298.34 = 288.44/x
  3. Step 3: Cross multiply
    865.56x = 1,298.34 × 288.44
  4. Step 4: Simplify right side
    865.56x = 374,493.19
  5. Step 5: Solve for x
    x = 374,493.19/865.56
  6. Step 6: Final answer
    x = 432.66

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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.