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Finding the Fourth Proportional to 624.67, 935.37 and 404.96

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Solution

The fourth proportional to 624.67, 935.37 and 404.96 is: 606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.67 : 935.37 = 404.96 : x
  2. Step 2: Convert to fraction form
    624.67/935.37 = 404.96/x
  3. Step 3: Cross multiply
    624.67x = 935.37 × 404.96
  4. Step 4: Simplify right side
    624.67x = 378,782.76
  5. Step 5: Solve for x
    x = 378,782.76/624.67
  6. Step 6: Final answer
    x = 606.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.