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Finding the Fourth Proportional to 624.67, 860.90 and 414.48

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Solution

The fourth proportional to 624.67, 860.90 and 414.48 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.67 : 860.90 = 414.48 : x
  2. Step 2: Convert to fraction form
    624.67/860.90 = 414.48/x
  3. Step 3: Cross multiply
    624.67x = 860.90 × 414.48
  4. Step 4: Simplify right side
    624.67x = 356,822.56
  5. Step 5: Solve for x
    x = 356,822.56/624.67
  6. Step 6: Final answer
    x = 571.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.