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Finding the Fourth Proportional to 694.48, 958.21 and 432.31

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Solution

The fourth proportional to 694.48, 958.21 and 432.31 is: 596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.48 : 958.21 = 432.31 : x
  2. Step 2: Convert to fraction form
    694.48/958.21 = 432.31/x
  3. Step 3: Cross multiply
    694.48x = 958.21 × 432.31
  4. Step 4: Simplify right side
    694.48x = 414,243.77
  5. Step 5: Solve for x
    x = 414,243.77/694.48
  6. Step 6: Final answer
    x = 596.48

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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.