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Finding the Fourth Proportional to 1,494.42, 2,241.84 and 398.82

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Solution

The fourth proportional to 1,494.42, 2,241.84 and 398.82 is: 598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.42 : 2,241.84 = 398.82 : x
  2. Step 2: Convert to fraction form
    1,494.42/2,241.84 = 398.82/x
  3. Step 3: Cross multiply
    1,494.42x = 2,241.84 × 398.82
  4. Step 4: Simplify right side
    1,494.42x = 894,090.63
  5. Step 5: Solve for x
    x = 894,090.63/1,494.42
  6. Step 6: Final answer
    x = 598.29

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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.