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Finding the Fourth Proportional to 490.91, 736.54 and 317.48

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Solution

The fourth proportional to 490.91, 736.54 and 317.48 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.91 : 736.54 = 317.48 : x
  2. Step 2: Convert to fraction form
    490.91/736.54 = 317.48/x
  3. Step 3: Cross multiply
    490.91x = 736.54 × 317.48
  4. Step 4: Simplify right side
    490.91x = 233,832.24
  5. Step 5: Solve for x
    x = 233,832.24/490.91
  6. Step 6: Final answer
    x = 476.33

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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.