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Finding the Fourth Proportional to 664.03, 916.37 and 369.33

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Solution

The fourth proportional to 664.03, 916.37 and 369.33 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 916.37 = 369.33 : x
  2. Step 2: Convert to fraction form
    664.03/916.37 = 369.33/x
  3. Step 3: Cross multiply
    664.03x = 916.37 × 369.33
  4. Step 4: Simplify right side
    664.03x = 338,436.50
  5. Step 5: Solve for x
    x = 338,436.50/664.03
  6. Step 6: Final answer
    x = 509.67

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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.