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Finding the Fourth Proportional to 923.22, 1,384.31 and 306.77

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Solution

The fourth proportional to 923.22, 1,384.31 and 306.77 is: 459.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.22 : 1,384.31 = 306.77 : x
  2. Step 2: Convert to fraction form
    923.22/1,384.31 = 306.77/x
  3. Step 3: Cross multiply
    923.22x = 1,384.31 × 306.77
  4. Step 4: Simplify right side
    923.22x = 424,658.62
  5. Step 5: Solve for x
    x = 424,658.62/923.22
  6. Step 6: Final answer
    x = 459.98

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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.