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Finding the Fourth Proportional to 379.80, 570.01 and 197.25

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Solution

The fourth proportional to 379.80, 570.01 and 197.25 is: 296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 570.01 = 197.25 : x
  2. Step 2: Convert to fraction form
    379.80/570.01 = 197.25/x
  3. Step 3: Cross multiply
    379.80x = 570.01 × 197.25
  4. Step 4: Simplify right side
    379.80x = 112,430.64
  5. Step 5: Solve for x
    x = 112,430.64/379.80
  6. Step 6: Final answer
    x = 296.03

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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.