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Finding the Fourth Proportional to 646.39, 969.69 and 236.10

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Solution

The fourth proportional to 646.39, 969.69 and 236.10 is: 354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.39 : 969.69 = 236.10 : x
  2. Step 2: Convert to fraction form
    646.39/969.69 = 236.10/x
  3. Step 3: Cross multiply
    646.39x = 969.69 × 236.10
  4. Step 4: Simplify right side
    646.39x = 228,943.81
  5. Step 5: Solve for x
    x = 228,943.81/646.39
  6. Step 6: Final answer
    x = 354.19

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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.