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Finding the Fourth Proportional to 643.24, 962.92 and 398.96

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Solution

The fourth proportional to 643.24, 962.92 and 398.96 is: 597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 962.92 = 398.96 : x
  2. Step 2: Convert to fraction form
    643.24/962.92 = 398.96/x
  3. Step 3: Cross multiply
    643.24x = 962.92 × 398.96
  4. Step 4: Simplify right side
    643.24x = 384,166.56
  5. Step 5: Solve for x
    x = 384,166.56/643.24
  6. Step 6: Final answer
    x = 597.24

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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.