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Finding the Fourth Proportional to 978.10, 1,467.31 and 361.81

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Solution

The fourth proportional to 978.10, 1,467.31 and 361.81 is: 542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.10 : 1,467.31 = 361.81 : x
  2. Step 2: Convert to fraction form
    978.10/1,467.31 = 361.81/x
  3. Step 3: Cross multiply
    978.10x = 1,467.31 × 361.81
  4. Step 4: Simplify right side
    978.10x = 530,887.43
  5. Step 5: Solve for x
    x = 530,887.43/978.10
  6. Step 6: Final answer
    x = 542.77

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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.