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Finding the Fourth Proportional to 437.26, 652.70 and 404.73

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Solution

The fourth proportional to 437.26, 652.70 and 404.73 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.26 : 652.70 = 404.73 : x
  2. Step 2: Convert to fraction form
    437.26/652.70 = 404.73/x
  3. Step 3: Cross multiply
    437.26x = 652.70 × 404.73
  4. Step 4: Simplify right side
    437.26x = 264,167.27
  5. Step 5: Solve for x
    x = 264,167.27/437.26
  6. Step 6: Final answer
    x = 604.14

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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.