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Finding the Fourth Proportional to 865.28, 1,297.89 and 288.16

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Solution

The fourth proportional to 865.28, 1,297.89 and 288.16 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.28 : 1,297.89 = 288.16 : x
  2. Step 2: Convert to fraction form
    865.28/1,297.89 = 288.16/x
  3. Step 3: Cross multiply
    865.28x = 1,297.89 × 288.16
  4. Step 4: Simplify right side
    865.28x = 373,996.74
  5. Step 5: Solve for x
    x = 373,996.74/865.28
  6. Step 6: Final answer
    x = 432.23

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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.