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Finding the Fourth Proportional to 284.70, 427.05 and 213.06

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Solution

The fourth proportional to 284.70, 427.05 and 213.06 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 427.05 = 213.06 : x
  2. Step 2: Convert to fraction form
    284.70/427.05 = 213.06/x
  3. Step 3: Cross multiply
    284.70x = 427.05 × 213.06
  4. Step 4: Simplify right side
    284.70x = 90,987.27
  5. Step 5: Solve for x
    x = 90,987.27/284.70
  6. Step 6: Final answer
    x = 319.59

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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.