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Finding the Fourth Proportional to 664.00, 916.25 and 369.23

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Solution

The fourth proportional to 664.00, 916.25 and 369.23 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.00 : 916.25 = 369.23 : x
  2. Step 2: Convert to fraction form
    664.00/916.25 = 369.23/x
  3. Step 3: Cross multiply
    664.00x = 916.25 × 369.23
  4. Step 4: Simplify right side
    664.00x = 338,300.56
  5. Step 5: Solve for x
    x = 338,300.56/664.00
  6. Step 6: Final answer
    x = 509.49

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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.