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Finding the Fourth Proportional to 647.37, 893.34 and 352.64

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Solution

The fourth proportional to 647.37, 893.34 and 352.64 is: 486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.37 : 893.34 = 352.64 : x
  2. Step 2: Convert to fraction form
    647.37/893.34 = 352.64/x
  3. Step 3: Cross multiply
    647.37x = 893.34 × 352.64
  4. Step 4: Simplify right side
    647.37x = 315,022.95
  5. Step 5: Solve for x
    x = 315,022.95/647.37
  6. Step 6: Final answer
    x = 486.62

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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.