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Finding the Fourth Proportional to 283.44, 424.32 and 218.70

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Solution

The fourth proportional to 283.44, 424.32 and 218.70 is: 327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.44 : 424.32 = 218.70 : x
  2. Step 2: Convert to fraction form
    283.44/424.32 = 218.70/x
  3. Step 3: Cross multiply
    283.44x = 424.32 × 218.70
  4. Step 4: Simplify right side
    283.44x = 92,798.78
  5. Step 5: Solve for x
    x = 92,798.78/283.44
  6. Step 6: Final answer
    x = 327.40

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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.