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Finding the Fourth Proportional to 643.38, 965.18 and 278.16

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Solution

The fourth proportional to 643.38, 965.18 and 278.16 is: 417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.38 : 965.18 = 278.16 : x
  2. Step 2: Convert to fraction form
    643.38/965.18 = 278.16/x
  3. Step 3: Cross multiply
    643.38x = 965.18 × 278.16
  4. Step 4: Simplify right side
    643.38x = 268,474.47
  5. Step 5: Solve for x
    x = 268,474.47/643.38
  6. Step 6: Final answer
    x = 417.29

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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.