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Finding the Fourth Proportional to 650.12, 897.19 and 355.40

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Solution

The fourth proportional to 650.12, 897.19 and 355.40 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 897.19 = 355.40 : x
  2. Step 2: Convert to fraction form
    650.12/897.19 = 355.40/x
  3. Step 3: Cross multiply
    650.12x = 897.19 × 355.40
  4. Step 4: Simplify right side
    650.12x = 318,861.33
  5. Step 5: Solve for x
    x = 318,861.33/650.12
  6. Step 6: Final answer
    x = 490.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.