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Finding the Fourth Proportional to 339.48, 471.24 and 317.88

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Solution

The fourth proportional to 339.48, 471.24 and 317.88 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.48 : 471.24 = 317.88 : x
  2. Step 2: Convert to fraction form
    339.48/471.24 = 317.88/x
  3. Step 3: Cross multiply
    339.48x = 471.24 × 317.88
  4. Step 4: Simplify right side
    339.48x = 149,797.77
  5. Step 5: Solve for x
    x = 149,797.77/339.48
  6. Step 6: Final answer
    x = 441.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.