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Finding the Fourth Proportional to 642.83, 964.76 and 365.36

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Solution

The fourth proportional to 642.83, 964.76 and 365.36 is: 548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 964.76 = 365.36 : x
  2. Step 2: Convert to fraction form
    642.83/964.76 = 365.36/x
  3. Step 3: Cross multiply
    642.83x = 964.76 × 365.36
  4. Step 4: Simplify right side
    642.83x = 352,478.06
  5. Step 5: Solve for x
    x = 352,478.06/642.83
  6. Step 6: Final answer
    x = 548.33

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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.