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Finding the Fourth Proportional to 427.49, 589.94 and 278.17

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Solution

The fourth proportional to 427.49, 589.94 and 278.17 is: 383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.49 : 589.94 = 278.17 : x
  2. Step 2: Convert to fraction form
    427.49/589.94 = 278.17/x
  3. Step 3: Cross multiply
    427.49x = 589.94 × 278.17
  4. Step 4: Simplify right side
    427.49x = 164,103.61
  5. Step 5: Solve for x
    x = 164,103.61/427.49
  6. Step 6: Final answer
    x = 383.88

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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.