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Finding the Fourth Proportional to 490.45, 735.71 and 284.96

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Solution

The fourth proportional to 490.45, 735.71 and 284.96 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.45 : 735.71 = 284.96 : x
  2. Step 2: Convert to fraction form
    490.45/735.71 = 284.96/x
  3. Step 3: Cross multiply
    490.45x = 735.71 × 284.96
  4. Step 4: Simplify right side
    490.45x = 209,642.82
  5. Step 5: Solve for x
    x = 209,642.82/490.45
  6. Step 6: Final answer
    x = 427.45

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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.