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Finding the Fourth Proportional to 284.00, 427.71 and 251.90

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Solution

The fourth proportional to 284.00, 427.71 and 251.90 is: 379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.00 : 427.71 = 251.90 : x
  2. Step 2: Convert to fraction form
    284.00/427.71 = 251.90/x
  3. Step 3: Cross multiply
    284.00x = 427.71 × 251.90
  4. Step 4: Simplify right side
    284.00x = 107,738.01
  5. Step 5: Solve for x
    x = 107,738.01/284.00
  6. Step 6: Final answer
    x = 379.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.