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Finding the Fourth Proportional to 663.82, 916.07 and 369.08

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Solution

The fourth proportional to 663.82, 916.07 and 369.08 is: 509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.82 : 916.07 = 369.08 : x
  2. Step 2: Convert to fraction form
    663.82/916.07 = 369.08/x
  3. Step 3: Cross multiply
    663.82x = 916.07 × 369.08
  4. Step 4: Simplify right side
    663.82x = 338,101.27
  5. Step 5: Solve for x
    x = 338,101.27/663.82
  6. Step 6: Final answer
    x = 509.33

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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.