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Finding the Fourth Proportional to 624.36, 932.74 and 447.26

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Solution

The fourth proportional to 624.36, 932.74 and 447.26 is: 668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.36 : 932.74 = 447.26 : x
  2. Step 2: Convert to fraction form
    624.36/932.74 = 447.26/x
  3. Step 3: Cross multiply
    624.36x = 932.74 × 447.26
  4. Step 4: Simplify right side
    624.36x = 417,172.77
  5. Step 5: Solve for x
    x = 417,172.77/624.36
  6. Step 6: Final answer
    x = 668.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.