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Finding the Fourth Proportional to 642.33, 962.28 and 399.33

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Solution

The fourth proportional to 642.33, 962.28 and 399.33 is: 598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 962.28 = 399.33 : x
  2. Step 2: Convert to fraction form
    642.33/962.28 = 399.33/x
  3. Step 3: Cross multiply
    642.33x = 962.28 × 399.33
  4. Step 4: Simplify right side
    642.33x = 384,267.27
  5. Step 5: Solve for x
    x = 384,267.27/642.33
  6. Step 6: Final answer
    x = 598.24

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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.