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Finding the Fourth Proportional to 978.24, 1,467.31 and 361.90

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Solution

The fourth proportional to 978.24, 1,467.31 and 361.90 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.24 : 1,467.31 = 361.90 : x
  2. Step 2: Convert to fraction form
    978.24/1,467.31 = 361.90/x
  3. Step 3: Cross multiply
    978.24x = 1,467.31 × 361.90
  4. Step 4: Simplify right side
    978.24x = 531,019.49
  5. Step 5: Solve for x
    x = 531,019.49/978.24
  6. Step 6: Final answer
    x = 542.83

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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.