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Finding the Fourth Proportional to 593.80, 819.52 and 446.18

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Solution

The fourth proportional to 593.80, 819.52 and 446.18 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.80 : 819.52 = 446.18 : x
  2. Step 2: Convert to fraction form
    593.80/819.52 = 446.18/x
  3. Step 3: Cross multiply
    593.80x = 819.52 × 446.18
  4. Step 4: Simplify right side
    593.80x = 365,653.06
  5. Step 5: Solve for x
    x = 365,653.06/593.80
  6. Step 6: Final answer
    x = 615.78

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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.