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Finding the Fourth Proportional to 497.34, 745.39 and 360.85

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Solution

The fourth proportional to 497.34, 745.39 and 360.85 is: 540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 745.39 = 360.85 : x
  2. Step 2: Convert to fraction form
    497.34/745.39 = 360.85/x
  3. Step 3: Cross multiply
    497.34x = 745.39 × 360.85
  4. Step 4: Simplify right side
    497.34x = 268,973.98
  5. Step 5: Solve for x
    x = 268,973.98/497.34
  6. Step 6: Final answer
    x = 540.83

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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.