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Finding the Fourth Proportional to 942.48, 1,412.20 and 393.44

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Solution

The fourth proportional to 942.48, 1,412.20 and 393.44 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.48 : 1,412.20 = 393.44 : x
  2. Step 2: Convert to fraction form
    942.48/1,412.20 = 393.44/x
  3. Step 3: Cross multiply
    942.48x = 1,412.20 × 393.44
  4. Step 4: Simplify right side
    942.48x = 555,615.97
  5. Step 5: Solve for x
    x = 555,615.97/942.48
  6. Step 6: Final answer
    x = 589.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.