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Finding the Fourth Proportional to 593.90, 819.10 and 416.80

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Solution

The fourth proportional to 593.90, 819.10 and 416.80 is: 574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.90 : 819.10 = 416.80 : x
  2. Step 2: Convert to fraction form
    593.90/819.10 = 416.80/x
  3. Step 3: Cross multiply
    593.90x = 819.10 × 416.80
  4. Step 4: Simplify right side
    593.90x = 341,400.88
  5. Step 5: Solve for x
    x = 341,400.88/593.90
  6. Step 6: Final answer
    x = 574.85

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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.