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Finding the Fourth Proportional to 424.36, 634.62 and 366.76

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Solution

The fourth proportional to 424.36, 634.62 and 366.76 is: 548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 634.62 = 366.76 : x
  2. Step 2: Convert to fraction form
    424.36/634.62 = 366.76/x
  3. Step 3: Cross multiply
    424.36x = 634.62 × 366.76
  4. Step 4: Simplify right side
    424.36x = 232,753.23
  5. Step 5: Solve for x
    x = 232,753.23/424.36
  6. Step 6: Final answer
    x = 548.48

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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.