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Finding the Fourth Proportional to 490.18, 735.44 and 307.36

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Solution

The fourth proportional to 490.18, 735.44 and 307.36 is: 461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.18 : 735.44 = 307.36 : x
  2. Step 2: Convert to fraction form
    490.18/735.44 = 307.36/x
  3. Step 3: Cross multiply
    490.18x = 735.44 × 307.36
  4. Step 4: Simplify right side
    490.18x = 226,043.30
  5. Step 5: Solve for x
    x = 226,043.30/490.18
  6. Step 6: Final answer
    x = 461.14

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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.