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Finding the Fourth Proportional to 650.20, 897 and 414.06

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Solution

The fourth proportional to 650.20, 897 and 414.06 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 897 = 414.06 : x
  2. Step 2: Convert to fraction form
    650.20/897 = 414.06/x
  3. Step 3: Cross multiply
    650.20x = 897 × 414.06
  4. Step 4: Simplify right side
    650.20x = 371,411.82
  5. Step 5: Solve for x
    x = 371,411.82/650.20
  6. Step 6: Final answer
    x = 571.23

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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.