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Finding the Fourth Proportional to 922.59, 1,384.20 and 306.27

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Solution

The fourth proportional to 922.59, 1,384.20 and 306.27 is: 459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.59 : 1,384.20 = 306.27 : x
  2. Step 2: Convert to fraction form
    922.59/1,384.20 = 306.27/x
  3. Step 3: Cross multiply
    922.59x = 1,384.20 × 306.27
  4. Step 4: Simplify right side
    922.59x = 423,938.93
  5. Step 5: Solve for x
    x = 423,938.93/922.59
  6. Step 6: Final answer
    x = 459.51

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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.