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Finding the Fourth Proportional to 371.82, 511.18 and 319.17

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Solution

The fourth proportional to 371.82, 511.18 and 319.17 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 511.18 = 319.17 : x
  2. Step 2: Convert to fraction form
    371.82/511.18 = 319.17/x
  3. Step 3: Cross multiply
    371.82x = 511.18 × 319.17
  4. Step 4: Simplify right side
    371.82x = 163,154.44
  5. Step 5: Solve for x
    x = 163,154.44/371.82
  6. Step 6: Final answer
    x = 438.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.