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Finding the Fourth Proportional to 643.16, 964.96 and 369.48

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Solution

The fourth proportional to 643.16, 964.96 and 369.48 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 964.96 = 369.48 : x
  2. Step 2: Convert to fraction form
    643.16/964.96 = 369.48/x
  3. Step 3: Cross multiply
    643.16x = 964.96 × 369.48
  4. Step 4: Simplify right side
    643.16x = 356,533.42
  5. Step 5: Solve for x
    x = 356,533.42/643.16
  6. Step 6: Final answer
    x = 554.35

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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.