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Finding the Fourth Proportional to 643.61, 965.91 and 297.11

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Solution

The fourth proportional to 643.61, 965.91 and 297.11 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.61 : 965.91 = 297.11 : x
  2. Step 2: Convert to fraction form
    643.61/965.91 = 297.11/x
  3. Step 3: Cross multiply
    643.61x = 965.91 × 297.11
  4. Step 4: Simplify right side
    643.61x = 286,976.69
  5. Step 5: Solve for x
    x = 286,976.69/643.61
  6. Step 6: Final answer
    x = 445.89

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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.