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Finding the Fourth Proportional to 977.70, 1,467.29 and 361.99

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Solution

The fourth proportional to 977.70, 1,467.29 and 361.99 is: 543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 1,467.29 = 361.99 : x
  2. Step 2: Convert to fraction form
    977.70/1,467.29 = 361.99/x
  3. Step 3: Cross multiply
    977.70x = 1,467.29 × 361.99
  4. Step 4: Simplify right side
    977.70x = 531,141.54
  5. Step 5: Solve for x
    x = 531,141.54/977.70
  6. Step 6: Final answer
    x = 543.26

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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.