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Finding the Fourth Proportional to 650.82, 898.10 and 356.08

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Solution

The fourth proportional to 650.82, 898.10 and 356.08 is: 491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 898.10 = 356.08 : x
  2. Step 2: Convert to fraction form
    650.82/898.10 = 356.08/x
  3. Step 3: Cross multiply
    650.82x = 898.10 × 356.08
  4. Step 4: Simplify right side
    650.82x = 319,795.45
  5. Step 5: Solve for x
    x = 319,795.45/650.82
  6. Step 6: Final answer
    x = 491.37

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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.