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Finding the Fourth Proportional to 643.72, 965.66 and 334.72

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Solution

The fourth proportional to 643.72, 965.66 and 334.72 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.72 : 965.66 = 334.72 : x
  2. Step 2: Convert to fraction form
    643.72/965.66 = 334.72/x
  3. Step 3: Cross multiply
    643.72x = 965.66 × 334.72
  4. Step 4: Simplify right side
    643.72x = 323,225.72
  5. Step 5: Solve for x
    x = 323,225.72/643.72
  6. Step 6: Final answer
    x = 502.12

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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.