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Finding the Fourth Proportional to 1,494.33, 2,241.31 and 398.77

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Solution

The fourth proportional to 1,494.33, 2,241.31 and 398.77 is: 598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.33 : 2,241.31 = 398.77 : x
  2. Step 2: Convert to fraction form
    1,494.33/2,241.31 = 398.77/x
  3. Step 3: Cross multiply
    1,494.33x = 2,241.31 × 398.77
  4. Step 4: Simplify right side
    1,494.33x = 893,767.19
  5. Step 5: Solve for x
    x = 893,767.19/1,494.33
  6. Step 6: Final answer
    x = 598.11

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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.