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Finding the Fourth Proportional to 355.32, 490.32 and 208.08

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Solution

The fourth proportional to 355.32, 490.32 and 208.08 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.32 : 490.32 = 208.08 : x
  2. Step 2: Convert to fraction form
    355.32/490.32 = 208.08/x
  3. Step 3: Cross multiply
    355.32x = 490.32 × 208.08
  4. Step 4: Simplify right side
    355.32x = 102,025.79
  5. Step 5: Solve for x
    x = 102,025.79/355.32
  6. Step 6: Final answer
    x = 287.14

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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.