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Finding the Fourth Proportional to 663.99, 916.36 and 369.29

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Solution

The fourth proportional to 663.99, 916.36 and 369.29 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.99 : 916.36 = 369.29 : x
  2. Step 2: Convert to fraction form
    663.99/916.36 = 369.29/x
  3. Step 3: Cross multiply
    663.99x = 916.36 × 369.29
  4. Step 4: Simplify right side
    663.99x = 338,402.58
  5. Step 5: Solve for x
    x = 338,402.58/663.99
  6. Step 6: Final answer
    x = 509.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.