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Finding the Fourth Proportional to 646.58, 969.75 and 213.68

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Solution

The fourth proportional to 646.58, 969.75 and 213.68 is: 320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.58 : 969.75 = 213.68 : x
  2. Step 2: Convert to fraction form
    646.58/969.75 = 213.68/x
  3. Step 3: Cross multiply
    646.58x = 969.75 × 213.68
  4. Step 4: Simplify right side
    646.58x = 207,216.18
  5. Step 5: Solve for x
    x = 207,216.18/646.58
  6. Step 6: Final answer
    x = 320.48

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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.