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Finding the Fourth Proportional to 942.20, 1,412.27 and 421.47

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Solution

The fourth proportional to 942.20, 1,412.27 and 421.47 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.20 : 1,412.27 = 421.47 : x
  2. Step 2: Convert to fraction form
    942.20/1,412.27 = 421.47/x
  3. Step 3: Cross multiply
    942.20x = 1,412.27 × 421.47
  4. Step 4: Simplify right side
    942.20x = 595,227.33
  5. Step 5: Solve for x
    x = 595,227.33/942.20
  6. Step 6: Final answer
    x = 631.75

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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.