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Finding the Fourth Proportional to 642.33, 884.52 and 537.23

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Solution

The fourth proportional to 642.33, 884.52 and 537.23 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 884.52 = 537.23 : x
  2. Step 2: Convert to fraction form
    642.33/884.52 = 537.23/x
  3. Step 3: Cross multiply
    642.33x = 884.52 × 537.23
  4. Step 4: Simplify right side
    642.33x = 475,192.89
  5. Step 5: Solve for x
    x = 475,192.89/642.33
  6. Step 6: Final answer
    x = 739.80

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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.