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Finding the Fourth Proportional to 499.08, 744.22 and 464.46

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Solution

The fourth proportional to 499.08, 744.22 and 464.46 is: 692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.08 : 744.22 = 464.46 : x
  2. Step 2: Convert to fraction form
    499.08/744.22 = 464.46/x
  3. Step 3: Cross multiply
    499.08x = 744.22 × 464.46
  4. Step 4: Simplify right side
    499.08x = 345,660.42
  5. Step 5: Solve for x
    x = 345,660.42/499.08
  6. Step 6: Final answer
    x = 692.60

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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.