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Finding the Fourth Proportional to 643.14, 964.71 and 353.70

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Solution

The fourth proportional to 643.14, 964.71 and 353.70 is: 530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 964.71 = 353.70 : x
  2. Step 2: Convert to fraction form
    643.14/964.71 = 353.70/x
  3. Step 3: Cross multiply
    643.14x = 964.71 × 353.70
  4. Step 4: Simplify right side
    643.14x = 341,217.93
  5. Step 5: Solve for x
    x = 341,217.93/643.14
  6. Step 6: Final answer
    x = 530.55

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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.