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Finding the Fourth Proportional to 402.84, 556.14 and 272.04

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Solution

The fourth proportional to 402.84, 556.14 and 272.04 is: 375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 556.14 = 272.04 : x
  2. Step 2: Convert to fraction form
    402.84/556.14 = 272.04/x
  3. Step 3: Cross multiply
    402.84x = 556.14 × 272.04
  4. Step 4: Simplify right side
    402.84x = 151,292.33
  5. Step 5: Solve for x
    x = 151,292.33/402.84
  6. Step 6: Final answer
    x = 375.56

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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.