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Finding the Fourth Proportional to 643.56, 964.98 and 297.06

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Solution

The fourth proportional to 643.56, 964.98 and 297.06 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.56 : 964.98 = 297.06 : x
  2. Step 2: Convert to fraction form
    643.56/964.98 = 297.06/x
  3. Step 3: Cross multiply
    643.56x = 964.98 × 297.06
  4. Step 4: Simplify right side
    643.56x = 286,656.96
  5. Step 5: Solve for x
    x = 286,656.96/643.56
  6. Step 6: Final answer
    x = 445.42

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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.