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Finding the Fourth Proportional to 499.20, 744.72 and 431.36

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Solution

The fourth proportional to 499.20, 744.72 and 431.36 is: 643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 744.72 = 431.36 : x
  2. Step 2: Convert to fraction form
    499.20/744.72 = 431.36/x
  3. Step 3: Cross multiply
    499.20x = 744.72 × 431.36
  4. Step 4: Simplify right side
    499.20x = 321,242.42
  5. Step 5: Solve for x
    x = 321,242.42/499.20
  6. Step 6: Final answer
    x = 643.51

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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.