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Finding the Fourth Proportional to 650.99, 898.36 and 356.29

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Solution

The fourth proportional to 650.99, 898.36 and 356.29 is: 491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.99 : 898.36 = 356.29 : x
  2. Step 2: Convert to fraction form
    650.99/898.36 = 356.29/x
  3. Step 3: Cross multiply
    650.99x = 898.36 × 356.29
  4. Step 4: Simplify right side
    650.99x = 320,073.55
  5. Step 5: Solve for x
    x = 320,073.55/650.99
  6. Step 6: Final answer
    x = 491.67

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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.