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Finding the Fourth Proportional to 379.74, 523.39 and 313.55

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Solution

The fourth proportional to 379.74, 523.39 and 313.55 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 523.39 = 313.55 : x
  2. Step 2: Convert to fraction form
    379.74/523.39 = 313.55/x
  3. Step 3: Cross multiply
    379.74x = 523.39 × 313.55
  4. Step 4: Simplify right side
    379.74x = 164,108.93
  5. Step 5: Solve for x
    x = 164,108.93/379.74
  6. Step 6: Final answer
    x = 432.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.