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Finding the Fourth Proportional to 922.26, 1,383.56 and 306.00

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Solution

The fourth proportional to 922.26, 1,383.56 and 306.00 is: 459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.26 : 1,383.56 = 306.00 : x
  2. Step 2: Convert to fraction form
    922.26/1,383.56 = 306.00/x
  3. Step 3: Cross multiply
    922.26x = 1,383.56 × 306.00
  4. Step 4: Simplify right side
    922.26x = 423,372.01
  5. Step 5: Solve for x
    x = 423,372.01/922.26
  6. Step 6: Final answer
    x = 459.06

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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.