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Finding the Fourth Proportional to 335.75, 502.88 and 284.19

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Solution

The fourth proportional to 335.75, 502.88 and 284.19 is: 425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 502.88 = 284.19 : x
  2. Step 2: Convert to fraction form
    335.75/502.88 = 284.19/x
  3. Step 3: Cross multiply
    335.75x = 502.88 × 284.19
  4. Step 4: Simplify right side
    335.75x = 142,912.05
  5. Step 5: Solve for x
    x = 142,912.05/335.75
  6. Step 6: Final answer
    x = 425.66

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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.