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Finding the Fourth Proportional to 356.33, 534.50 and 284.65

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Solution

The fourth proportional to 356.33, 534.50 and 284.65 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.33 : 534.50 = 284.65 : x
  2. Step 2: Convert to fraction form
    356.33/534.50 = 284.65/x
  3. Step 3: Cross multiply
    356.33x = 534.50 × 284.65
  4. Step 4: Simplify right side
    356.33x = 152,143.73
  5. Step 5: Solve for x
    x = 152,143.73/356.33
  6. Step 6: Final answer
    x = 426.97

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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.