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Finding the Fourth Proportional to 319.55, 441.35 and 241.20

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Solution

The fourth proportional to 319.55, 441.35 and 241.20 is: 333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 441.35 = 241.20 : x
  2. Step 2: Convert to fraction form
    319.55/441.35 = 241.20/x
  3. Step 3: Cross multiply
    319.55x = 441.35 × 241.20
  4. Step 4: Simplify right side
    319.55x = 106,452.41
  5. Step 5: Solve for x
    x = 106,452.41/319.55
  6. Step 6: Final answer
    x = 333.14

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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.