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Finding the Fourth Proportional to 355.35, 490.52 and 208.03

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Solution

The fourth proportional to 355.35, 490.52 and 208.03 is: 287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.35 : 490.52 = 208.03 : x
  2. Step 2: Convert to fraction form
    355.35/490.52 = 208.03/x
  3. Step 3: Cross multiply
    355.35x = 490.52 × 208.03
  4. Step 4: Simplify right side
    355.35x = 102,041.92
  5. Step 5: Solve for x
    x = 102,041.92/355.35
  6. Step 6: Final answer
    x = 287.16

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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.