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Finding the Fourth Proportional to 343.83, 514.54 and 281.41

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Solution

The fourth proportional to 343.83, 514.54 and 281.41 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.83 : 514.54 = 281.41 : x
  2. Step 2: Convert to fraction form
    343.83/514.54 = 281.41/x
  3. Step 3: Cross multiply
    343.83x = 514.54 × 281.41
  4. Step 4: Simplify right side
    343.83x = 144,796.56
  5. Step 5: Solve for x
    x = 144,796.56/343.83
  6. Step 6: Final answer
    x = 421.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.