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Finding the Fourth Proportional to 284.74, 427.38 and 207.34

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Solution

The fourth proportional to 284.74, 427.38 and 207.34 is: 311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.74 : 427.38 = 207.34 : x
  2. Step 2: Convert to fraction form
    284.74/427.38 = 207.34/x
  3. Step 3: Cross multiply
    284.74x = 427.38 × 207.34
  4. Step 4: Simplify right side
    284.74x = 88,612.97
  5. Step 5: Solve for x
    x = 88,612.97/284.74
  6. Step 6: Final answer
    x = 311.21

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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.