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Finding the Fourth Proportional to 379.74, 570.64 and 206.53

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Solution

The fourth proportional to 379.74, 570.64 and 206.53 is: 310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 570.64 = 206.53 : x
  2. Step 2: Convert to fraction form
    379.74/570.64 = 206.53/x
  3. Step 3: Cross multiply
    379.74x = 570.64 × 206.53
  4. Step 4: Simplify right side
    379.74x = 117,855.35
  5. Step 5: Solve for x
    x = 117,855.35/379.74
  6. Step 6: Final answer
    x = 310.36

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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.