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Finding the Fourth Proportional to 431.47, 594.41 and 378.92

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Solution

The fourth proportional to 431.47, 594.41 and 378.92 is: 522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.47 : 594.41 = 378.92 : x
  2. Step 2: Convert to fraction form
    431.47/594.41 = 378.92/x
  3. Step 3: Cross multiply
    431.47x = 594.41 × 378.92
  4. Step 4: Simplify right side
    431.47x = 225,236.27
  5. Step 5: Solve for x
    x = 225,236.27/431.47
  6. Step 6: Final answer
    x = 522.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.