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Finding the Fourth Proportional to 646.58, 969.01 and 235.33

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Solution

The fourth proportional to 646.58, 969.01 and 235.33 is: 352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.58 : 969.01 = 235.33 : x
  2. Step 2: Convert to fraction form
    646.58/969.01 = 235.33/x
  3. Step 3: Cross multiply
    646.58x = 969.01 × 235.33
  4. Step 4: Simplify right side
    646.58x = 228,033.67
  5. Step 5: Solve for x
    x = 228,033.67/646.58
  6. Step 6: Final answer
    x = 352.68

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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.