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Finding the Fourth Proportional to 650.40, 897.24 and 388.38

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Solution

The fourth proportional to 650.40, 897.24 and 388.38 is: 535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 897.24 = 388.38 : x
  2. Step 2: Convert to fraction form
    650.40/897.24 = 388.38/x
  3. Step 3: Cross multiply
    650.40x = 897.24 × 388.38
  4. Step 4: Simplify right side
    650.40x = 348,470.07
  5. Step 5: Solve for x
    x = 348,470.07/650.40
  6. Step 6: Final answer
    x = 535.78

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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.