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Finding the Fourth Proportional to 343.62, 515.43 and 292.14

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Solution

The fourth proportional to 343.62, 515.43 and 292.14 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 515.43 = 292.14 : x
  2. Step 2: Convert to fraction form
    343.62/515.43 = 292.14/x
  3. Step 3: Cross multiply
    343.62x = 515.43 × 292.14
  4. Step 4: Simplify right side
    343.62x = 150,577.72
  5. Step 5: Solve for x
    x = 150,577.72/343.62
  6. Step 6: Final answer
    x = 438.21

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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.