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Finding the Fourth Proportional to 646.12, 969.28 and 235.20

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Solution

The fourth proportional to 646.12, 969.28 and 235.20 is: 352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 969.28 = 235.20 : x
  2. Step 2: Convert to fraction form
    646.12/969.28 = 235.20/x
  3. Step 3: Cross multiply
    646.12x = 969.28 × 235.20
  4. Step 4: Simplify right side
    646.12x = 227,974.66
  5. Step 5: Solve for x
    x = 227,974.66/646.12
  6. Step 6: Final answer
    x = 352.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.