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Finding the Fourth Proportional to 343.69, 515.66 and 285.64

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Solution

The fourth proportional to 343.69, 515.66 and 285.64 is: 428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 515.66 = 285.64 : x
  2. Step 2: Convert to fraction form
    343.69/515.66 = 285.64/x
  3. Step 3: Cross multiply
    343.69x = 515.66 × 285.64
  4. Step 4: Simplify right side
    343.69x = 147,293.12
  5. Step 5: Solve for x
    x = 147,293.12/343.69
  6. Step 6: Final answer
    x = 428.56

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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.