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Finding the Fourth Proportional to 650.87, 898.23 and 356.14

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Solution

The fourth proportional to 650.87, 898.23 and 356.14 is: 491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.87 : 898.23 = 356.14 : x
  2. Step 2: Convert to fraction form
    650.87/898.23 = 356.14/x
  3. Step 3: Cross multiply
    650.87x = 898.23 × 356.14
  4. Step 4: Simplify right side
    650.87x = 319,896.31
  5. Step 5: Solve for x
    x = 319,896.31/650.87
  6. Step 6: Final answer
    x = 491.49

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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.