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Finding the Fourth Proportional to 465.35, 641.27 and 347.46

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Solution

The fourth proportional to 465.35, 641.27 and 347.46 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.35 : 641.27 = 347.46 : x
  2. Step 2: Convert to fraction form
    465.35/641.27 = 347.46/x
  3. Step 3: Cross multiply
    465.35x = 641.27 × 347.46
  4. Step 4: Simplify right side
    465.35x = 222,813.94
  5. Step 5: Solve for x
    x = 222,813.94/465.35
  6. Step 6: Final answer
    x = 478.81

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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.