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Finding the Fourth Proportional to 642.15, 962.82 and 398.34

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Solution

The fourth proportional to 642.15, 962.82 and 398.34 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.15 : 962.82 = 398.34 : x
  2. Step 2: Convert to fraction form
    642.15/962.82 = 398.34/x
  3. Step 3: Cross multiply
    642.15x = 962.82 × 398.34
  4. Step 4: Simplify right side
    642.15x = 383,529.72
  5. Step 5: Solve for x
    x = 383,529.72/642.15
  6. Step 6: Final answer
    x = 597.26

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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.