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Finding the Fourth Proportional to 922.05, 1,382.67 and 272.84

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Solution

The fourth proportional to 922.05, 1,382.67 and 272.84 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.05 : 1,382.67 = 272.84 : x
  2. Step 2: Convert to fraction form
    922.05/1,382.67 = 272.84/x
  3. Step 3: Cross multiply
    922.05x = 1,382.67 × 272.84
  4. Step 4: Simplify right side
    922.05x = 377,240.77
  5. Step 5: Solve for x
    x = 377,240.77/922.05
  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.