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Finding the Fourth Proportional to 922.02, 1,383.08 and 305.79

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Solution

The fourth proportional to 922.02, 1,383.08 and 305.79 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.02 : 1,383.08 = 305.79 : x
  2. Step 2: Convert to fraction form
    922.02/1,383.08 = 305.79/x
  3. Step 3: Cross multiply
    922.02x = 1,383.08 × 305.79
  4. Step 4: Simplify right side
    922.02x = 422,932.03
  5. Step 5: Solve for x
    x = 422,932.03/922.02
  6. Step 6: Final answer
    x = 458.70

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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.