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Finding the Fourth Proportional to 650.07, 897.09 and 355.32

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Solution

The fourth proportional to 650.07, 897.09 and 355.32 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.07 : 897.09 = 355.32 : x
  2. Step 2: Convert to fraction form
    650.07/897.09 = 355.32/x
  3. Step 3: Cross multiply
    650.07x = 897.09 × 355.32
  4. Step 4: Simplify right side
    650.07x = 318,754.02
  5. Step 5: Solve for x
    x = 318,754.02/650.07
  6. Step 6: Final answer
    x = 490.34

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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.