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Finding the Fourth Proportional to 499.35, 744.01 and 471.41

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Solution

The fourth proportional to 499.35, 744.01 and 471.41 is: 702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.35 : 744.01 = 471.41 : x
  2. Step 2: Convert to fraction form
    499.35/744.01 = 471.41/x
  3. Step 3: Cross multiply
    499.35x = 744.01 × 471.41
  4. Step 4: Simplify right side
    499.35x = 350,730.03
  5. Step 5: Solve for x
    x = 350,730.03/499.35
  6. Step 6: Final answer
    x = 702.37

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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.