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Finding the Fourth Proportional to 284.70, 427.05 and 252.30

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Solution

The fourth proportional to 284.70, 427.05 and 252.30 is: 378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 427.05 = 252.30 : x
  2. Step 2: Convert to fraction form
    284.70/427.05 = 252.30/x
  3. Step 3: Cross multiply
    284.70x = 427.05 × 252.30
  4. Step 4: Simplify right side
    284.70x = 107,744.72
  5. Step 5: Solve for x
    x = 107,744.72/284.70
  6. Step 6: Final answer
    x = 378.45

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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.