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Finding the Fourth Proportional to 353.52, 529.46 and 343.19

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Solution

The fourth proportional to 353.52, 529.46 and 343.19 is: 513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.52 : 529.46 = 343.19 : x
  2. Step 2: Convert to fraction form
    353.52/529.46 = 343.19/x
  3. Step 3: Cross multiply
    353.52x = 529.46 × 343.19
  4. Step 4: Simplify right side
    353.52x = 181,705.38
  5. Step 5: Solve for x
    x = 181,705.38/353.52
  6. Step 6: Final answer
    x = 513.99

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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.