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Finding the Fourth Proportional to 379.61, 522.92 and 317.42

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Solution

The fourth proportional to 379.61, 522.92 and 317.42 is: 437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.61 : 522.92 = 317.42 : x
  2. Step 2: Convert to fraction form
    379.61/522.92 = 317.42/x
  3. Step 3: Cross multiply
    379.61x = 522.92 × 317.42
  4. Step 4: Simplify right side
    379.61x = 165,983.68
  5. Step 5: Solve for x
    x = 165,983.68/379.61
  6. Step 6: Final answer
    x = 437.25

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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.