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Finding the Fourth Proportional to 284.88, 427.56 and 207.84

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Solution

The fourth proportional to 284.88, 427.56 and 207.84 is: 311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 427.56 = 207.84 : x
  2. Step 2: Convert to fraction form
    284.88/427.56 = 207.84/x
  3. Step 3: Cross multiply
    284.88x = 427.56 × 207.84
  4. Step 4: Simplify right side
    284.88x = 88,864.07
  5. Step 5: Solve for x
    x = 88,864.07/284.88
  6. Step 6: Final answer
    x = 311.94

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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.