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Finding the Fourth Proportional to 650.13, 975.39 and 361.77

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Solution

The fourth proportional to 650.13, 975.39 and 361.77 is: 542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.13 : 975.39 = 361.77 : x
  2. Step 2: Convert to fraction form
    650.13/975.39 = 361.77/x
  3. Step 3: Cross multiply
    650.13x = 975.39 × 361.77
  4. Step 4: Simplify right side
    650.13x = 352,866.84
  5. Step 5: Solve for x
    x = 352,866.84/650.13
  6. Step 6: Final answer
    x = 542.76

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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.