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Finding the Fourth Proportional to 645.57, 967.95 and 402.03

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Solution

The fourth proportional to 645.57, 967.95 and 402.03 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 967.95 = 402.03 : x
  2. Step 2: Convert to fraction form
    645.57/967.95 = 402.03/x
  3. Step 3: Cross multiply
    645.57x = 967.95 × 402.03
  4. Step 4: Simplify right side
    645.57x = 389,144.94
  5. Step 5: Solve for x
    x = 389,144.94/645.57
  6. Step 6: Final answer
    x = 602.79

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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.