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Finding the Fourth Proportional to 650.14, 897.49 and 414.41

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Solution

The fourth proportional to 650.14, 897.49 and 414.41 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.14 : 897.49 = 414.41 : x
  2. Step 2: Convert to fraction form
    650.14/897.49 = 414.41/x
  3. Step 3: Cross multiply
    650.14x = 897.49 × 414.41
  4. Step 4: Simplify right side
    650.14x = 371,932.70
  5. Step 5: Solve for x
    x = 371,932.70/650.14
  6. Step 6: Final answer
    x = 572.08

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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.