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Finding the Fourth Proportional to 593.18, 888.38 and 419.24

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Solution

The fourth proportional to 593.18, 888.38 and 419.24 is: 627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.18 : 888.38 = 419.24 : x
  2. Step 2: Convert to fraction form
    593.18/888.38 = 419.24/x
  3. Step 3: Cross multiply
    593.18x = 888.38 × 419.24
  4. Step 4: Simplify right side
    593.18x = 372,444.43
  5. Step 5: Solve for x
    x = 372,444.43/593.18
  6. Step 6: Final answer
    x = 627.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.