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Finding the Fourth Proportional to 650.36, 976.14 and 407.32

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Solution

The fourth proportional to 650.36, 976.14 and 407.32 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.36 : 976.14 = 407.32 : x
  2. Step 2: Convert to fraction form
    650.36/976.14 = 407.32/x
  3. Step 3: Cross multiply
    650.36x = 976.14 × 407.32
  4. Step 4: Simplify right side
    650.36x = 397,601.34
  5. Step 5: Solve for x
    x = 397,601.34/650.36
  6. Step 6: Final answer
    x = 611.36

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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.