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Finding the Fourth Proportional to 650.52, 897.68 and 355.79

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Solution

The fourth proportional to 650.52, 897.68 and 355.79 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 897.68 = 355.79 : x
  2. Step 2: Convert to fraction form
    650.52/897.68 = 355.79/x
  3. Step 3: Cross multiply
    650.52x = 897.68 × 355.79
  4. Step 4: Simplify right side
    650.52x = 319,385.57
  5. Step 5: Solve for x
    x = 319,385.57/650.52
  6. Step 6: Final answer
    x = 490.97

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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.