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Finding the Fourth Proportional to 379.02, 565.44 and 351.06

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Solution

The fourth proportional to 379.02, 565.44 and 351.06 is: 523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.02 : 565.44 = 351.06 : x
  2. Step 2: Convert to fraction form
    379.02/565.44 = 351.06/x
  3. Step 3: Cross multiply
    379.02x = 565.44 × 351.06
  4. Step 4: Simplify right side
    379.02x = 198,503.37
  5. Step 5: Solve for x
    x = 198,503.37/379.02
  6. Step 6: Final answer
    x = 523.73

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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.