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Finding the Fourth Proportional to 865.48, 1,297.88 and 317.52

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Solution

The fourth proportional to 865.48, 1,297.88 and 317.52 is: 476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.48 : 1,297.88 = 317.52 : x
  2. Step 2: Convert to fraction form
    865.48/1,297.88 = 317.52/x
  3. Step 3: Cross multiply
    865.48x = 1,297.88 × 317.52
  4. Step 4: Simplify right side
    865.48x = 412,102.86
  5. Step 5: Solve for x
    x = 412,102.86/865.48
  6. Step 6: Final answer
    x = 476.16

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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.