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Finding the Fourth Proportional to 597.97, 897.14 and 213.25

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Solution

The fourth proportional to 597.97, 897.14 and 213.25 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 897.14 = 213.25 : x
  2. Step 2: Convert to fraction form
    597.97/897.14 = 213.25/x
  3. Step 3: Cross multiply
    597.97x = 897.14 × 213.25
  4. Step 4: Simplify right side
    597.97x = 191,314.04
  5. Step 5: Solve for x
    x = 191,314.04/597.97
  6. Step 6: Final answer
    x = 319.94

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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.