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Finding the Fourth Proportional to 490.32, 731.77 and 477.36

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Solution

The fourth proportional to 490.32, 731.77 and 477.36 is: 712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 731.77 = 477.36 : x
  2. Step 2: Convert to fraction form
    490.32/731.77 = 477.36/x
  3. Step 3: Cross multiply
    490.32x = 731.77 × 477.36
  4. Step 4: Simplify right side
    490.32x = 349,316.53
  5. Step 5: Solve for x
    x = 349,316.53/490.32
  6. Step 6: Final answer
    x = 712.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.