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Finding the Fourth Proportional to 490.02, 735.17 and 346.65

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Solution

The fourth proportional to 490.02, 735.17 and 346.65 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.02 : 735.17 = 346.65 : x
  2. Step 2: Convert to fraction form
    490.02/735.17 = 346.65/x
  3. Step 3: Cross multiply
    490.02x = 735.17 × 346.65
  4. Step 4: Simplify right side
    490.02x = 254,844.95
  5. Step 5: Solve for x
    x = 254,844.95/490.02
  6. Step 6: Final answer
    x = 520.07

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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.