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Finding the Fourth Proportional to 977.97, 1,467.12 and 361.68

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Solution

The fourth proportional to 977.97, 1,467.12 and 361.68 is: 542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.97 : 1,467.12 = 361.68 : x
  2. Step 2: Convert to fraction form
    977.97/1,467.12 = 361.68/x
  3. Step 3: Cross multiply
    977.97x = 1,467.12 × 361.68
  4. Step 4: Simplify right side
    977.97x = 530,629.32
  5. Step 5: Solve for x
    x = 530,629.32/977.97
  6. Step 6: Final answer
    x = 542.58

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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.