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Finding the Fourth Proportional to 646.34, 969.57 and 213.57

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Solution

The fourth proportional to 646.34, 969.57 and 213.57 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 969.57 = 213.57 : x
  2. Step 2: Convert to fraction form
    646.34/969.57 = 213.57/x
  3. Step 3: Cross multiply
    646.34x = 969.57 × 213.57
  4. Step 4: Simplify right side
    646.34x = 207,071.06
  5. Step 5: Solve for x
    x = 207,071.06/646.34
  6. Step 6: Final answer
    x = 320.38

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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.