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Finding the Fourth Proportional to 353.86, 488.34 and 206.52

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Solution

The fourth proportional to 353.86, 488.34 and 206.52 is: 285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.86 : 488.34 = 206.52 : x
  2. Step 2: Convert to fraction form
    353.86/488.34 = 206.52/x
  3. Step 3: Cross multiply
    353.86x = 488.34 × 206.52
  4. Step 4: Simplify right side
    353.86x = 100,851.98
  5. Step 5: Solve for x
    x = 100,851.98/353.86
  6. Step 6: Final answer
    x = 285.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.