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Finding the Fourth Proportional to 942.24, 1,412.80 and 394.68

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Solution

The fourth proportional to 942.24, 1,412.80 and 394.68 is: 591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.24 : 1,412.80 = 394.68 : x
  2. Step 2: Convert to fraction form
    942.24/1,412.80 = 394.68/x
  3. Step 3: Cross multiply
    942.24x = 1,412.80 × 394.68
  4. Step 4: Simplify right side
    942.24x = 557,603.90
  5. Step 5: Solve for x
    x = 557,603.90/942.24
  6. Step 6: Final answer
    x = 591.79

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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.