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Finding the Fourth Proportional to 624.09, 935.70 and 407.23

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Solution

The fourth proportional to 624.09, 935.70 and 407.23 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.09 : 935.70 = 407.23 : x
  2. Step 2: Convert to fraction form
    624.09/935.70 = 407.23/x
  3. Step 3: Cross multiply
    624.09x = 935.70 × 407.23
  4. Step 4: Simplify right side
    624.09x = 381,045.11
  5. Step 5: Solve for x
    x = 381,045.11/624.09
  6. Step 6: Final answer
    x = 610.56

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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.