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Finding the Fourth Proportional to 650.14, 975.24 and 361.36

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Solution

The fourth proportional to 650.14, 975.24 and 361.36 is: 542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.14 : 975.24 = 361.36 : x
  2. Step 2: Convert to fraction form
    650.14/975.24 = 361.36/x
  3. Step 3: Cross multiply
    650.14x = 975.24 × 361.36
  4. Step 4: Simplify right side
    650.14x = 352,412.73
  5. Step 5: Solve for x
    x = 352,412.73/650.14
  6. Step 6: Final answer
    x = 542.06

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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.