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Finding the Fourth Proportional to 379.64, 565.46 and 371.64

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Solution

The fourth proportional to 379.64, 565.46 and 371.64 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 565.46 = 371.64 : x
  2. Step 2: Convert to fraction form
    379.64/565.46 = 371.64/x
  3. Step 3: Cross multiply
    379.64x = 565.46 × 371.64
  4. Step 4: Simplify right side
    379.64x = 210,147.55
  5. Step 5: Solve for x
    x = 210,147.55/379.64
  6. Step 6: Final answer
    x = 553.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.