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Finding the Fourth Proportional to 663.97, 916.30 and 369.26

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Solution

The fourth proportional to 663.97, 916.30 and 369.26 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.97 : 916.30 = 369.26 : x
  2. Step 2: Convert to fraction form
    663.97/916.30 = 369.26/x
  3. Step 3: Cross multiply
    663.97x = 916.30 × 369.26
  4. Step 4: Simplify right side
    663.97x = 338,352.94
  5. Step 5: Solve for x
    x = 338,352.94/663.97
  6. Step 6: Final answer
    x = 509.59

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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.