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Finding the Fourth Proportional to 865.60, 1,297.92 and 288.48

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Solution

The fourth proportional to 865.60, 1,297.92 and 288.48 is: 432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.60 : 1,297.92 = 288.48 : x
  2. Step 2: Convert to fraction form
    865.60/1,297.92 = 288.48/x
  3. Step 3: Cross multiply
    865.60x = 1,297.92 × 288.48
  4. Step 4: Simplify right side
    865.60x = 374,423.96
  5. Step 5: Solve for x
    x = 374,423.96/865.60
  6. Step 6: Final answer
    x = 432.56

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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.