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Finding the Fourth Proportional to 650.44, 977.10 and 361.72

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Solution

The fourth proportional to 650.44, 977.10 and 361.72 is: 543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 977.10 = 361.72 : x
  2. Step 2: Convert to fraction form
    650.44/977.10 = 361.72/x
  3. Step 3: Cross multiply
    650.44x = 977.10 × 361.72
  4. Step 4: Simplify right side
    650.44x = 353,436.61
  5. Step 5: Solve for x
    x = 353,436.61/650.44
  6. Step 6: Final answer
    x = 543.38

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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.