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Finding the Fourth Proportional to 942.26, 1,412.40 and 394.76

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Solution

The fourth proportional to 942.26, 1,412.40 and 394.76 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 1,412.40 = 394.76 : x
  2. Step 2: Convert to fraction form
    942.26/1,412.40 = 394.76/x
  3. Step 3: Cross multiply
    942.26x = 1,412.40 × 394.76
  4. Step 4: Simplify right side
    942.26x = 557,559.02
  5. Step 5: Solve for x
    x = 557,559.02/942.26
  6. Step 6: Final answer
    x = 591.73

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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.