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Finding the Fourth Proportional to 650.74, 898.04 and 367.15

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Solution

The fourth proportional to 650.74, 898.04 and 367.15 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.74 : 898.04 = 367.15 : x
  2. Step 2: Convert to fraction form
    650.74/898.04 = 367.15/x
  3. Step 3: Cross multiply
    650.74x = 898.04 × 367.15
  4. Step 4: Simplify right side
    650.74x = 329,715.39
  5. Step 5: Solve for x
    x = 329,715.39/650.74
  6. Step 6: Final answer
    x = 506.68

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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.