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Finding the Fourth Proportional to 646.56, 969.93 and 236.07

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Solution

The fourth proportional to 646.56, 969.93 and 236.07 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 969.93 = 236.07 : x
  2. Step 2: Convert to fraction form
    646.56/969.93 = 236.07/x
  3. Step 3: Cross multiply
    646.56x = 969.93 × 236.07
  4. Step 4: Simplify right side
    646.56x = 228,971.38
  5. Step 5: Solve for x
    x = 228,971.38/646.56
  6. Step 6: Final answer
    x = 354.14

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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.