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Finding the Fourth Proportional to 624.45, 935.21 and 493.57

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Solution

The fourth proportional to 624.45, 935.21 and 493.57 is: 739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 935.21 = 493.57 : x
  2. Step 2: Convert to fraction form
    624.45/935.21 = 493.57/x
  3. Step 3: Cross multiply
    624.45x = 935.21 × 493.57
  4. Step 4: Simplify right side
    624.45x = 461,584.46
  5. Step 5: Solve for x
    x = 461,584.46/624.45
  6. Step 6: Final answer
    x = 739.19

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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.