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Finding the Fourth Proportional to 379.10, 567.27 and 313.49

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Solution

The fourth proportional to 379.10, 567.27 and 313.49 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.10 : 567.27 = 313.49 : x
  2. Step 2: Convert to fraction form
    379.10/567.27 = 313.49/x
  3. Step 3: Cross multiply
    379.10x = 567.27 × 313.49
  4. Step 4: Simplify right side
    379.10x = 177,833.47
  5. Step 5: Solve for x
    x = 177,833.47/379.10
  6. Step 6: Final answer
    x = 469.09

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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.