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Finding the Fourth Proportional to 865.18, 1,297.62 and 317.36

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Solution

The fourth proportional to 865.18, 1,297.62 and 317.36 is: 475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,297.62 = 317.36 : x
  2. Step 2: Convert to fraction form
    865.18/1,297.62 = 317.36/x
  3. Step 3: Cross multiply
    865.18x = 1,297.62 × 317.36
  4. Step 4: Simplify right side
    865.18x = 411,812.68
  5. Step 5: Solve for x
    x = 411,812.68/865.18
  6. Step 6: Final answer
    x = 475.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.