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Finding the Fourth Proportional to 865.32, 1,297.64 and 378.03

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Solution

The fourth proportional to 865.32, 1,297.64 and 378.03 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.32 : 1,297.64 = 378.03 : x
  2. Step 2: Convert to fraction form
    865.32/1,297.64 = 378.03/x
  3. Step 3: Cross multiply
    865.32x = 1,297.64 × 378.03
  4. Step 4: Simplify right side
    865.32x = 490,551.04
  5. Step 5: Solve for x
    x = 490,551.04/865.32
  6. Step 6: Final answer
    x = 566.90

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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.