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Finding the Fourth Proportional to 600.69, 898.76 and 366.49

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Solution

The fourth proportional to 600.69, 898.76 and 366.49 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.69 : 898.76 = 366.49 : x
  2. Step 2: Convert to fraction form
    600.69/898.76 = 366.49/x
  3. Step 3: Cross multiply
    600.69x = 898.76 × 366.49
  4. Step 4: Simplify right side
    600.69x = 329,388.72
  5. Step 5: Solve for x
    x = 329,388.72/600.69
  6. Step 6: Final answer
    x = 548.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.