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Finding the Fourth Proportional to 343.82, 514.81 and 289.15

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Solution

The fourth proportional to 343.82, 514.81 and 289.15 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.82 : 514.81 = 289.15 : x
  2. Step 2: Convert to fraction form
    343.82/514.81 = 289.15/x
  3. Step 3: Cross multiply
    343.82x = 514.81 × 289.15
  4. Step 4: Simplify right side
    343.82x = 148,855.20
  5. Step 5: Solve for x
    x = 148,855.20/343.82
  6. Step 6: Final answer
    x = 432.94

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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.