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Finding the Fourth Proportional to 624.80, 935.99 and 407.72

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Solution

The fourth proportional to 624.80, 935.99 and 407.72 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 935.99 = 407.72 : x
  2. Step 2: Convert to fraction form
    624.80/935.99 = 407.72/x
  3. Step 3: Cross multiply
    624.80x = 935.99 × 407.72
  4. Step 4: Simplify right side
    624.80x = 381,622.14
  5. Step 5: Solve for x
    x = 381,622.14/624.80
  6. Step 6: Final answer
    x = 610.79

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