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Finding the Fourth Proportional to 319.10, 439.82 and 266.44

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Solution

The fourth proportional to 319.10, 439.82 and 266.44 is: 367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 439.82 = 266.44 : x
  2. Step 2: Convert to fraction form
    319.10/439.82 = 266.44/x
  3. Step 3: Cross multiply
    319.10x = 439.82 × 266.44
  4. Step 4: Simplify right side
    319.10x = 117,185.64
  5. Step 5: Solve for x
    x = 117,185.64/319.10
  6. Step 6: Final answer
    x = 367.24

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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.