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Finding the Fourth Proportional to 650.75, 897.89 and 414.61

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Solution

The fourth proportional to 650.75, 897.89 and 414.61 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.75 : 897.89 = 414.61 : x
  2. Step 2: Convert to fraction form
    650.75/897.89 = 414.61/x
  3. Step 3: Cross multiply
    650.75x = 897.89 × 414.61
  4. Step 4: Simplify right side
    650.75x = 372,274.17
  5. Step 5: Solve for x
    x = 372,274.17/650.75
  6. Step 6: Final answer
    x = 572.07

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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.