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Finding the Fourth Proportional to 343.40, 515.12 and 289.22

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Solution

The fourth proportional to 343.40, 515.12 and 289.22 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 515.12 = 289.22 : x
  2. Step 2: Convert to fraction form
    343.40/515.12 = 289.22/x
  3. Step 3: Cross multiply
    343.40x = 515.12 × 289.22
  4. Step 4: Simplify right side
    343.40x = 148,978.98
  5. Step 5: Solve for x
    x = 148,978.98/343.40
  6. Step 6: Final answer
    x = 433.84

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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.