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Finding the Fourth Proportional to 922.47, 1,384.11 and 306.27

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Solution

The fourth proportional to 922.47, 1,384.11 and 306.27 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.47 : 1,384.11 = 306.27 : x
  2. Step 2: Convert to fraction form
    922.47/1,384.11 = 306.27/x
  3. Step 3: Cross multiply
    922.47x = 1,384.11 × 306.27
  4. Step 4: Simplify right side
    922.47x = 423,911.37
  5. Step 5: Solve for x
    x = 423,911.37/922.47
  6. Step 6: Final answer
    x = 459.54

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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.