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Finding the Fourth Proportional to 319.40, 440.22 and 278.36

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Solution

The fourth proportional to 319.40, 440.22 and 278.36 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.40 : 440.22 = 278.36 : x
  2. Step 2: Convert to fraction form
    319.40/440.22 = 278.36/x
  3. Step 3: Cross multiply
    319.40x = 440.22 × 278.36
  4. Step 4: Simplify right side
    319.40x = 122,539.64
  5. Step 5: Solve for x
    x = 122,539.64/319.40
  6. Step 6: Final answer
    x = 383.66

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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.