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Finding the Fourth Proportional to 883.73, 1,325.23 and 306.47

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Solution

The fourth proportional to 883.73, 1,325.23 and 306.47 is: 459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.73 : 1,325.23 = 306.47 : x
  2. Step 2: Convert to fraction form
    883.73/1,325.23 = 306.47/x
  3. Step 3: Cross multiply
    883.73x = 1,325.23 × 306.47
  4. Step 4: Simplify right side
    883.73x = 406,135.85
  5. Step 5: Solve for x
    x = 406,135.85/883.73
  6. Step 6: Final answer
    x = 459.57

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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.