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Finding the Fourth Proportional to 650.10, 897 and 414.02

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Solution

The fourth proportional to 650.10, 897 and 414.02 is: 571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.10 : 897 = 414.02 : x
  2. Step 2: Convert to fraction form
    650.10/897 = 414.02/x
  3. Step 3: Cross multiply
    650.10x = 897 × 414.02
  4. Step 4: Simplify right side
    650.10x = 371,375.94
  5. Step 5: Solve for x
    x = 371,375.94/650.10
  6. Step 6: Final answer
    x = 571.26

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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.