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Finding the Fourth Proportional to 922.24, 1,383.12 and 272.80

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Solution

The fourth proportional to 922.24, 1,383.12 and 272.80 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.24 : 1,383.12 = 272.80 : x
  2. Step 2: Convert to fraction form
    922.24/1,383.12 = 272.80/x
  3. Step 3: Cross multiply
    922.24x = 1,383.12 × 272.80
  4. Step 4: Simplify right side
    922.24x = 377,315.14
  5. Step 5: Solve for x
    x = 377,315.14/922.24
  6. Step 6: Final answer
    x = 409.13

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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.