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Finding the Fourth Proportional to 593.82, 819.48 and 341.77

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Solution

The fourth proportional to 593.82, 819.48 and 341.77 is: 471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 819.48 = 341.77 : x
  2. Step 2: Convert to fraction form
    593.82/819.48 = 341.77/x
  3. Step 3: Cross multiply
    593.82x = 819.48 × 341.77
  4. Step 4: Simplify right side
    593.82x = 280,073.68
  5. Step 5: Solve for x
    x = 280,073.68/593.82
  6. Step 6: Final answer
    x = 471.65

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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.