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Finding the Fourth Proportional to 650.28, 897.64 and 414.44

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Solution

The fourth proportional to 650.28, 897.64 and 414.44 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 897.64 = 414.44 : x
  2. Step 2: Convert to fraction form
    650.28/897.64 = 414.44/x
  3. Step 3: Cross multiply
    650.28x = 897.64 × 414.44
  4. Step 4: Simplify right side
    650.28x = 372,017.92
  5. Step 5: Solve for x
    x = 372,017.92/650.28
  6. Step 6: Final answer
    x = 572.09

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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.