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Finding the Fourth Proportional to 388.08, 580.86 and 379.26

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Solution

The fourth proportional to 388.08, 580.86 and 379.26 is: 567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 580.86 = 379.26 : x
  2. Step 2: Convert to fraction form
    388.08/580.86 = 379.26/x
  3. Step 3: Cross multiply
    388.08x = 580.86 × 379.26
  4. Step 4: Simplify right side
    388.08x = 220,296.96
  5. Step 5: Solve for x
    x = 220,296.96/388.08
  6. Step 6: Final answer
    x = 567.66

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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.