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Finding the Fourth Proportional to 922.31, 1,383.14 and 305.93

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Solution

The fourth proportional to 922.31, 1,383.14 and 305.93 is: 458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.31 : 1,383.14 = 305.93 : x
  2. Step 2: Convert to fraction form
    922.31/1,383.14 = 305.93/x
  3. Step 3: Cross multiply
    922.31x = 1,383.14 × 305.93
  4. Step 4: Simplify right side
    922.31x = 423,135.57
  5. Step 5: Solve for x
    x = 423,135.57/922.31
  6. Step 6: Final answer
    x = 458.78

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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.