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Finding the Fourth Proportional to 539.90, 745.04 and 353.70

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Solution

The fourth proportional to 539.90, 745.04 and 353.70 is: 488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.90 : 745.04 = 353.70 : x
  2. Step 2: Convert to fraction form
    539.90/745.04 = 353.70/x
  3. Step 3: Cross multiply
    539.90x = 745.04 × 353.70
  4. Step 4: Simplify right side
    539.90x = 263,520.65
  5. Step 5: Solve for x
    x = 263,520.65/539.90
  6. Step 6: Final answer
    x = 488.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.