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Finding the Fourth Proportional to 499.87, 751.63 and 459.78

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Solution

The fourth proportional to 499.87, 751.63 and 459.78 is: 691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.87 : 751.63 = 459.78 : x
  2. Step 2: Convert to fraction form
    499.87/751.63 = 459.78/x
  3. Step 3: Cross multiply
    499.87x = 751.63 × 459.78
  4. Step 4: Simplify right side
    499.87x = 345,581.34
  5. Step 5: Solve for x
    x = 345,581.34/499.87
  6. Step 6: Final answer
    x = 691.34

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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.