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Finding the Fourth Proportional to 490.28, 735.54 and 346.90

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Solution

The fourth proportional to 490.28, 735.54 and 346.90 is: 520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 735.54 = 346.90 : x
  2. Step 2: Convert to fraction form
    490.28/735.54 = 346.90/x
  3. Step 3: Cross multiply
    490.28x = 735.54 × 346.90
  4. Step 4: Simplify right side
    490.28x = 255,158.83
  5. Step 5: Solve for x
    x = 255,158.83/490.28
  6. Step 6: Final answer
    x = 520.43

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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.