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Finding the Fourth Proportional to 977.57, 1,466.93 and 361.71

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Solution

The fourth proportional to 977.57, 1,466.93 and 361.71 is: 542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.57 : 1,466.93 = 361.71 : x
  2. Step 2: Convert to fraction form
    977.57/1,466.93 = 361.71/x
  3. Step 3: Cross multiply
    977.57x = 1,466.93 × 361.71
  4. Step 4: Simplify right side
    977.57x = 530,604.15
  5. Step 5: Solve for x
    x = 530,604.15/977.57
  6. Step 6: Final answer
    x = 542.78

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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.