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Finding the Fourth Proportional to 922.67, 1,384.23 and 306.41

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Solution

The fourth proportional to 922.67, 1,384.23 and 306.41 is: 459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.67 : 1,384.23 = 306.41 : x
  2. Step 2: Convert to fraction form
    922.67/1,384.23 = 306.41/x
  3. Step 3: Cross multiply
    922.67x = 1,384.23 × 306.41
  4. Step 4: Simplify right side
    922.67x = 424,141.91
  5. Step 5: Solve for x
    x = 424,141.91/922.67
  6. Step 6: Final answer
    x = 459.69

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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.