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Finding the Fourth Proportional to 499.50, 745.11 and 462.96

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Solution

The fourth proportional to 499.50, 745.11 and 462.96 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 745.11 = 462.96 : x
  2. Step 2: Convert to fraction form
    499.50/745.11 = 462.96/x
  3. Step 3: Cross multiply
    499.50x = 745.11 × 462.96
  4. Step 4: Simplify right side
    499.50x = 344,956.13
  5. Step 5: Solve for x
    x = 344,956.13/499.50
  6. Step 6: Final answer
    x = 690.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.