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Finding the Fourth Proportional to 355.84, 532.56 and 209.12

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Solution

The fourth proportional to 355.84, 532.56 and 209.12 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 532.56 = 209.12 : x
  2. Step 2: Convert to fraction form
    355.84/532.56 = 209.12/x
  3. Step 3: Cross multiply
    355.84x = 532.56 × 209.12
  4. Step 4: Simplify right side
    355.84x = 111,368.95
  5. Step 5: Solve for x
    x = 111,368.95/355.84
  6. Step 6: Final answer
    x = 312.97

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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.