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Finding the Fourth Proportional to 646.97, 970.47 and 214.13

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Solution

The fourth proportional to 646.97, 970.47 and 214.13 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.97 : 970.47 = 214.13 : x
  2. Step 2: Convert to fraction form
    646.97/970.47 = 214.13/x
  3. Step 3: Cross multiply
    646.97x = 970.47 × 214.13
  4. Step 4: Simplify right side
    646.97x = 207,801.89
  5. Step 5: Solve for x
    x = 207,801.89/646.97
  6. Step 6: Final answer
    x = 321.19

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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.