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Finding the Fourth Proportional to 650.23, 897.42 and 414.28

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Solution

The fourth proportional to 650.23, 897.42 and 414.28 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.23 : 897.42 = 414.28 : x
  2. Step 2: Convert to fraction form
    650.23/897.42 = 414.28/x
  3. Step 3: Cross multiply
    650.23x = 897.42 × 414.28
  4. Step 4: Simplify right side
    650.23x = 371,781.09
  5. Step 5: Solve for x
    x = 371,781.09/650.23
  6. Step 6: Final answer
    x = 571.77

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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.