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Finding the Fourth Proportional to 353.58, 527.39 and 342.78

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Solution

The fourth proportional to 353.58, 527.39 and 342.78 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.58 : 527.39 = 342.78 : x
  2. Step 2: Convert to fraction form
    353.58/527.39 = 342.78/x
  3. Step 3: Cross multiply
    353.58x = 527.39 × 342.78
  4. Step 4: Simplify right side
    353.58x = 180,777.03
  5. Step 5: Solve for x
    x = 180,777.03/353.58
  6. Step 6: Final answer
    x = 511.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.