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Finding the Fourth Proportional to 490.20, 731.09 and 417.54

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Solution

The fourth proportional to 490.20, 731.09 and 417.54 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.20 : 731.09 = 417.54 : x
  2. Step 2: Convert to fraction form
    490.20/731.09 = 417.54/x
  3. Step 3: Cross multiply
    490.20x = 731.09 × 417.54
  4. Step 4: Simplify right side
    490.20x = 305,259.32
  5. Step 5: Solve for x
    x = 305,259.32/490.20
  6. Step 6: Final answer
    x = 622.72

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1.5x scale

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.