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Finding the Fourth Proportional to 319.70, 440.98 and 266.39

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Solution

The fourth proportional to 319.70, 440.98 and 266.39 is: 367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.70 : 440.98 = 266.39 : x
  2. Step 2: Convert to fraction form
    319.70/440.98 = 266.39/x
  3. Step 3: Cross multiply
    319.70x = 440.98 × 266.39
  4. Step 4: Simplify right side
    319.70x = 117,472.66
  5. Step 5: Solve for x
    x = 117,472.66/319.70
  6. Step 6: Final answer
    x = 367.45

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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.