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Finding the Fourth Proportional to 865.46, 1,298.60 and 317.84

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Solution

The fourth proportional to 865.46, 1,298.60 and 317.84 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.46 : 1,298.60 = 317.84 : x
  2. Step 2: Convert to fraction form
    865.46/1,298.60 = 317.84/x
  3. Step 3: Cross multiply
    865.46x = 1,298.60 × 317.84
  4. Step 4: Simplify right side
    865.46x = 412,747.02
  5. Step 5: Solve for x
    x = 412,747.02/865.46
  6. Step 6: Final answer
    x = 476.91

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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.