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Finding the Fourth Proportional to 490.57, 735.71 and 353.20

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Solution

The fourth proportional to 490.57, 735.71 and 353.20 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.57 : 735.71 = 353.20 : x
  2. Step 2: Convert to fraction form
    490.57/735.71 = 353.20/x
  3. Step 3: Cross multiply
    490.57x = 735.71 × 353.20
  4. Step 4: Simplify right side
    490.57x = 259,852.77
  5. Step 5: Solve for x
    x = 259,852.77/490.57
  6. Step 6: Final answer
    x = 529.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.