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Finding the Fourth Proportional to 663.91, 916.19 and 369.21

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Solution

The fourth proportional to 663.91, 916.19 and 369.21 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.91 : 916.19 = 369.21 : x
  2. Step 2: Convert to fraction form
    663.91/916.19 = 369.21/x
  3. Step 3: Cross multiply
    663.91x = 916.19 × 369.21
  4. Step 4: Simplify right side
    663.91x = 338,261.93
  5. Step 5: Solve for x
    x = 338,261.93/663.91
  6. Step 6: Final answer
    x = 509.50

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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.