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Finding the Fourth Proportional to 646.71, 970.08 and 213.90

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Solution

The fourth proportional to 646.71, 970.08 and 213.90 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.71 : 970.08 = 213.90 : x
  2. Step 2: Convert to fraction form
    646.71/970.08 = 213.90/x
  3. Step 3: Cross multiply
    646.71x = 970.08 × 213.90
  4. Step 4: Simplify right side
    646.71x = 207,500.11
  5. Step 5: Solve for x
    x = 207,500.11/646.71
  6. Step 6: Final answer
    x = 320.85

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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.