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Finding the Fourth Proportional to 650.80, 898.09 and 356.06

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Solution

The fourth proportional to 650.80, 898.09 and 356.06 is: 491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.80 : 898.09 = 356.06 : x
  2. Step 2: Convert to fraction form
    650.80/898.09 = 356.06/x
  3. Step 3: Cross multiply
    650.80x = 898.09 × 356.06
  4. Step 4: Simplify right side
    650.80x = 319,775.28
  5. Step 5: Solve for x
    x = 319,775.28/650.80
  6. Step 6: Final answer
    x = 491.36

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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.