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Finding the Fourth Proportional to 317.12, 474.46 and 278.24

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Solution

The fourth proportional to 317.12, 474.46 and 278.24 is: 416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.12 : 474.46 = 278.24 : x
  2. Step 2: Convert to fraction form
    317.12/474.46 = 278.24/x
  3. Step 3: Cross multiply
    317.12x = 474.46 × 278.24
  4. Step 4: Simplify right side
    317.12x = 132,013.75
  5. Step 5: Solve for x
    x = 132,013.75/317.12
  6. Step 6: Final answer
    x = 416.29

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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.