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Finding the Fourth Proportional to 355.06, 532.59 and 209.83

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Solution

The fourth proportional to 355.06, 532.59 and 209.83 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.06 : 532.59 = 209.83 : x
  2. Step 2: Convert to fraction form
    355.06/532.59 = 209.83/x
  3. Step 3: Cross multiply
    355.06x = 532.59 × 209.83
  4. Step 4: Simplify right side
    355.06x = 111,750.70
  5. Step 5: Solve for x
    x = 111,750.70/355.06
  6. Step 6: Final answer
    x = 314.74

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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.