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Finding the Fourth Proportional to 496.85, 745.60 and 332.50

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Solution

The fourth proportional to 496.85, 745.60 and 332.50 is: 498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.85 : 745.60 = 332.50 : x
  2. Step 2: Convert to fraction form
    496.85/745.60 = 332.50/x
  3. Step 3: Cross multiply
    496.85x = 745.60 × 332.50
  4. Step 4: Simplify right side
    496.85x = 247,909.30
  5. Step 5: Solve for x
    x = 247,909.30/496.85
  6. Step 6: Final answer
    x = 498.97

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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.