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Finding the Fourth Proportional to 922, 1,383.04 and 272.79

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Solution

The fourth proportional to 922, 1,383.04 and 272.79 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    922 : 1,383.04 = 272.79 : x
  2. Step 2: Convert to fraction form
    922/1,383.04 = 272.79/x
  3. Step 3: Cross multiply
    922x = 1,383.04 × 272.79
  4. Step 4: Simplify right side
    922x = 377,279.48
  5. Step 5: Solve for x
    x = 377,279.48/922
  6. Step 6: Final answer
    x = 409.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.