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Finding the Fourth Proportional to 593.25, 888.88 and 419.59

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Solution

The fourth proportional to 593.25, 888.88 and 419.59 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.25 : 888.88 = 419.59 : x
  2. Step 2: Convert to fraction form
    593.25/888.88 = 419.59/x
  3. Step 3: Cross multiply
    593.25x = 888.88 × 419.59
  4. Step 4: Simplify right side
    593.25x = 372,965.16
  5. Step 5: Solve for x
    x = 372,965.16/593.25
  6. Step 6: Final answer
    x = 628.68

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