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Finding the Fourth Proportional to 646.17, 968.67 and 235.22

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Solution

The fourth proportional to 646.17, 968.67 and 235.22 is: 352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 968.67 = 235.22 : x
  2. Step 2: Convert to fraction form
    646.17/968.67 = 235.22/x
  3. Step 3: Cross multiply
    646.17x = 968.67 × 235.22
  4. Step 4: Simplify right side
    646.17x = 227,852.98
  5. Step 5: Solve for x
    x = 227,852.98/646.17
  6. Step 6: Final answer
    x = 352.62

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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.