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Finding the Fourth Proportional to 977.54, 1,466.30 and 361.27

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Solution

The fourth proportional to 977.54, 1,466.30 and 361.27 is: 541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.54 : 1,466.30 = 361.27 : x
  2. Step 2: Convert to fraction form
    977.54/1,466.30 = 361.27/x
  3. Step 3: Cross multiply
    977.54x = 1,466.30 × 361.27
  4. Step 4: Simplify right side
    977.54x = 529,730.20
  5. Step 5: Solve for x
    x = 529,730.20/977.54
  6. Step 6: Final answer
    x = 541.90

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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.