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Finding the Fourth Proportional to 355.96, 533.40 and 211.24

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Solution

The fourth proportional to 355.96, 533.40 and 211.24 is: 316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 533.40 = 211.24 : x
  2. Step 2: Convert to fraction form
    355.96/533.40 = 211.24/x
  3. Step 3: Cross multiply
    355.96x = 533.40 × 211.24
  4. Step 4: Simplify right side
    355.96x = 112,675.42
  5. Step 5: Solve for x
    x = 112,675.42/355.96
  6. Step 6: Final answer
    x = 316.54

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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.