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Finding the Fourth Proportional to 650.27, 975.91 and 342.30

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Solution

The fourth proportional to 650.27, 975.91 and 342.30 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.27 : 975.91 = 342.30 : x
  2. Step 2: Convert to fraction form
    650.27/975.91 = 342.30/x
  3. Step 3: Cross multiply
    650.27x = 975.91 × 342.30
  4. Step 4: Simplify right side
    650.27x = 334,053.99
  5. Step 5: Solve for x
    x = 334,053.99/650.27
  6. Step 6: Final answer
    x = 513.72

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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.