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Finding the Fourth Proportional to 643.55, 966.80 and 370.31

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Solution

The fourth proportional to 643.55, 966.80 and 370.31 is: 556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.55 : 966.80 = 370.31 : x
  2. Step 2: Convert to fraction form
    643.55/966.80 = 370.31/x
  3. Step 3: Cross multiply
    643.55x = 966.80 × 370.31
  4. Step 4: Simplify right side
    643.55x = 358,011.80
  5. Step 5: Solve for x
    x = 358,011.80/643.55
  6. Step 6: Final answer
    x = 556.31

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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.