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Finding the Fourth Proportional to 465.71, 641.67 and 334.49

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Solution

The fourth proportional to 465.71, 641.67 and 334.49 is: 460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.71 : 641.67 = 334.49 : x
  2. Step 2: Convert to fraction form
    465.71/641.67 = 334.49/x
  3. Step 3: Cross multiply
    465.71x = 641.67 × 334.49
  4. Step 4: Simplify right side
    465.71x = 214,628.99
  5. Step 5: Solve for x
    x = 214,628.99/465.71
  6. Step 6: Final answer
    x = 460.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.