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Finding the Fourth Proportional to 642.82, 887.52 and 433.31

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Solution

The fourth proportional to 642.82, 887.52 and 433.31 is: 598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.82 : 887.52 = 433.31 : x
  2. Step 2: Convert to fraction form
    642.82/887.52 = 433.31/x
  3. Step 3: Cross multiply
    642.82x = 887.52 × 433.31
  4. Step 4: Simplify right side
    642.82x = 384,571.29
  5. Step 5: Solve for x
    x = 384,571.29/642.82
  6. Step 6: Final answer
    x = 598.26

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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.