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Finding the Fourth Proportional to 356.65, 533.99 and 269.73

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Solution

The fourth proportional to 356.65, 533.99 and 269.73 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.65 : 533.99 = 269.73 : x
  2. Step 2: Convert to fraction form
    356.65/533.99 = 269.73/x
  3. Step 3: Cross multiply
    356.65x = 533.99 × 269.73
  4. Step 4: Simplify right side
    356.65x = 144,033.12
  5. Step 5: Solve for x
    x = 144,033.12/356.65
  6. Step 6: Final answer
    x = 403.85

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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.