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Finding the Fourth Proportional to 647.69, 893.82 and 352.97

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Solution

The fourth proportional to 647.69, 893.82 and 352.97 is: 487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.69 : 893.82 = 352.97 : x
  2. Step 2: Convert to fraction form
    647.69/893.82 = 352.97/x
  3. Step 3: Cross multiply
    647.69x = 893.82 × 352.97
  4. Step 4: Simplify right side
    647.69x = 315,487.18
  5. Step 5: Solve for x
    x = 315,487.18/647.69
  6. Step 6: Final answer
    x = 487.10

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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.