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Finding the Fourth Proportional to 865.43, 1,297.58 and 402.96

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Solution

The fourth proportional to 865.43, 1,297.58 and 402.96 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.43 : 1,297.58 = 402.96 : x
  2. Step 2: Convert to fraction form
    865.43/1,297.58 = 402.96/x
  3. Step 3: Cross multiply
    865.43x = 1,297.58 × 402.96
  4. Step 4: Simplify right side
    865.43x = 522,870.82
  5. Step 5: Solve for x
    x = 522,870.82/865.43
  6. Step 6: Final answer
    x = 604.17

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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.