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Finding the Fourth Proportional to 499.74, 746.00 and 431.70

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Solution

The fourth proportional to 499.74, 746.00 and 431.70 is: 644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 746.00 = 431.70 : x
  2. Step 2: Convert to fraction form
    499.74/746.00 = 431.70/x
  3. Step 3: Cross multiply
    499.74x = 746.00 × 431.70
  4. Step 4: Simplify right side
    499.74x = 322,046.04
  5. Step 5: Solve for x
    x = 322,046.04/499.74
  6. Step 6: Final answer
    x = 644.43

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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.