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Finding the Fourth Proportional to 645.17, 966.94 and 385.36

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Solution

The fourth proportional to 645.17, 966.94 and 385.36 is: 577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.17 : 966.94 = 385.36 : x
  2. Step 2: Convert to fraction form
    645.17/966.94 = 385.36/x
  3. Step 3: Cross multiply
    645.17x = 966.94 × 385.36
  4. Step 4: Simplify right side
    645.17x = 372,616.62
  5. Step 5: Solve for x
    x = 372,616.62/645.17
  6. Step 6: Final answer
    x = 577.55

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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.