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Finding the Fourth Proportional to 335.75, 502.85 and 282.74

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Solution

The fourth proportional to 335.75, 502.85 and 282.74 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 502.85 = 282.74 : x
  2. Step 2: Convert to fraction form
    335.75/502.85 = 282.74/x
  3. Step 3: Cross multiply
    335.75x = 502.85 × 282.74
  4. Step 4: Simplify right side
    335.75x = 142,175.81
  5. Step 5: Solve for x
    x = 142,175.81/335.75
  6. Step 6: Final answer
    x = 423.46

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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.