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Finding the Fourth Proportional to 650.86, 897.71 and 414.57

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Solution

The fourth proportional to 650.86, 897.71 and 414.57 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.86 : 897.71 = 414.57 : x
  2. Step 2: Convert to fraction form
    650.86/897.71 = 414.57/x
  3. Step 3: Cross multiply
    650.86x = 897.71 × 414.57
  4. Step 4: Simplify right side
    650.86x = 372,163.63
  5. Step 5: Solve for x
    x = 372,163.63/650.86
  6. Step 6: Final answer
    x = 571.81

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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.