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Finding the Fourth Proportional to 346.87, 478.46 and 263.80

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Solution

The fourth proportional to 346.87, 478.46 and 263.80 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.87 : 478.46 = 263.80 : x
  2. Step 2: Convert to fraction form
    346.87/478.46 = 263.80/x
  3. Step 3: Cross multiply
    346.87x = 478.46 × 263.80
  4. Step 4: Simplify right side
    346.87x = 126,217.01
  5. Step 5: Solve for x
    x = 126,217.01/346.87
  6. Step 6: Final answer
    x = 363.87

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Why These Related Problems?

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