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Finding the Fourth Proportional to 650.50, 897.72 and 355.76

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Solution

The fourth proportional to 650.50, 897.72 and 355.76 is: 490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.50 : 897.72 = 355.76 : x
  2. Step 2: Convert to fraction form
    650.50/897.72 = 355.76/x
  3. Step 3: Cross multiply
    650.50x = 897.72 × 355.76
  4. Step 4: Simplify right side
    650.50x = 319,370.41
  5. Step 5: Solve for x
    x = 319,370.41/650.50
  6. Step 6: Final answer
    x = 490.96

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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.