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Finding the Fourth Proportional to 284.91, 427.36 and 233.90

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Solution

The fourth proportional to 284.91, 427.36 and 233.90 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 427.36 = 233.90 : x
  2. Step 2: Convert to fraction form
    284.91/427.36 = 233.90/x
  3. Step 3: Cross multiply
    284.91x = 427.36 × 233.90
  4. Step 4: Simplify right side
    284.91x = 99,959.50
  5. Step 5: Solve for x
    x = 99,959.50/284.91
  6. Step 6: Final answer
    x = 350.85

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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.