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Finding the Fourth Proportional to 593.88, 819.72 and 357.96

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Solution

The fourth proportional to 593.88, 819.72 and 357.96 is: 494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.88 : 819.72 = 357.96 : x
  2. Step 2: Convert to fraction form
    593.88/819.72 = 357.96/x
  3. Step 3: Cross multiply
    593.88x = 819.72 × 357.96
  4. Step 4: Simplify right side
    593.88x = 293,426.97
  5. Step 5: Solve for x
    x = 293,426.97/593.88
  6. Step 6: Final answer
    x = 494.08

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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.