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Finding the Fourth Proportional to 865.53, 1,298.31 and 317.42

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Solution

The fourth proportional to 865.53, 1,298.31 and 317.42 is: 476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.53 : 1,298.31 = 317.42 : x
  2. Step 2: Convert to fraction form
    865.53/1,298.31 = 317.42/x
  3. Step 3: Cross multiply
    865.53x = 1,298.31 × 317.42
  4. Step 4: Simplify right side
    865.53x = 412,103.07
  5. Step 5: Solve for x
    x = 412,103.07/865.53
  6. Step 6: Final answer
    x = 476.13

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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.