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Finding the Fourth Proportional to 650.50, 897.69 and 417.63

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Solution

The fourth proportional to 650.50, 897.69 and 417.63 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.50 : 897.69 = 417.63 : x
  2. Step 2: Convert to fraction form
    650.50/897.69 = 417.63/x
  3. Step 3: Cross multiply
    650.50x = 897.69 × 417.63
  4. Step 4: Simplify right side
    650.50x = 374,902.27
  5. Step 5: Solve for x
    x = 374,902.27/650.50
  6. Step 6: Final answer
    x = 576.33

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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.