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Finding the Fourth Proportional to 317.03, 475.20 and 295.16

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Solution

The fourth proportional to 317.03, 475.20 and 295.16 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.03 : 475.20 = 295.16 : x
  2. Step 2: Convert to fraction form
    317.03/475.20 = 295.16/x
  3. Step 3: Cross multiply
    317.03x = 475.20 × 295.16
  4. Step 4: Simplify right side
    317.03x = 140,257.66
  5. Step 5: Solve for x
    x = 140,257.66/317.03
  6. Step 6: Final answer
    x = 442.42

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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.