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Finding the Fourth Proportional to 650.23, 897.03 and 414.05

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Solution

The fourth proportional to 650.23, 897.03 and 414.05 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.23 : 897.03 = 414.05 : x
  2. Step 2: Convert to fraction form
    650.23/897.03 = 414.05/x
  3. Step 3: Cross multiply
    650.23x = 897.03 × 414.05
  4. Step 4: Simplify right side
    650.23x = 371,410.79
  5. Step 5: Solve for x
    x = 371,410.79/650.23
  6. Step 6: Final answer
    x = 571.20

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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.