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Finding the Fourth Proportional to 338.75, 467.51 and 317.90

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Solution

The fourth proportional to 338.75, 467.51 and 317.90 is: 438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 467.51 = 317.90 : x
  2. Step 2: Convert to fraction form
    338.75/467.51 = 317.90/x
  3. Step 3: Cross multiply
    338.75x = 467.51 × 317.90
  4. Step 4: Simplify right side
    338.75x = 148,617.50
  5. Step 5: Solve for x
    x = 148,617.50/338.75
  6. Step 6: Final answer
    x = 438.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.