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Finding the Fourth Proportional to 319.75, 440.91 and 291.81

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Solution

The fourth proportional to 319.75, 440.91 and 291.81 is: 402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.75 : 440.91 = 291.81 : x
  2. Step 2: Convert to fraction form
    319.75/440.91 = 291.81/x
  3. Step 3: Cross multiply
    319.75x = 440.91 × 291.81
  4. Step 4: Simplify right side
    319.75x = 128,661.95
  5. Step 5: Solve for x
    x = 128,661.95/319.75
  6. Step 6: Final answer
    x = 402.38

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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.