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Finding the Fourth Proportional to 922.40, 1,383.81 and 306.06

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Solution

The fourth proportional to 922.40, 1,383.81 and 306.06 is: 459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.40 : 1,383.81 = 306.06 : x
  2. Step 2: Convert to fraction form
    922.40/1,383.81 = 306.06/x
  3. Step 3: Cross multiply
    922.40x = 1,383.81 × 306.06
  4. Step 4: Simplify right side
    922.40x = 423,528.89
  5. Step 5: Solve for x
    x = 423,528.89/922.40
  6. Step 6: Final answer
    x = 459.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.