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Finding the Fourth Proportional to 497.38, 745.62 and 367.06

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Solution

The fourth proportional to 497.38, 745.62 and 367.06 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 745.62 = 367.06 : x
  2. Step 2: Convert to fraction form
    497.38/745.62 = 367.06/x
  3. Step 3: Cross multiply
    497.38x = 745.62 × 367.06
  4. Step 4: Simplify right side
    497.38x = 273,687.28
  5. Step 5: Solve for x
    x = 273,687.28/497.38
  6. Step 6: Final answer
    x = 550.26

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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.