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Finding the Fourth Proportional to 467.24, 701.15 and 317.30

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Solution

The fourth proportional to 467.24, 701.15 and 317.30 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.24 : 701.15 = 317.30 : x
  2. Step 2: Convert to fraction form
    467.24/701.15 = 317.30/x
  3. Step 3: Cross multiply
    467.24x = 701.15 × 317.30
  4. Step 4: Simplify right side
    467.24x = 222,469.80
  5. Step 5: Solve for x
    x = 222,469.80/467.24
  6. Step 6: Final answer
    x = 476.14

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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.