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Finding the Fourth Proportional to 663.88, 916.07 and 369.11

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Solution

The fourth proportional to 663.88, 916.07 and 369.11 is: 509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.88 : 916.07 = 369.11 : x
  2. Step 2: Convert to fraction form
    663.88/916.07 = 369.11/x
  3. Step 3: Cross multiply
    663.88x = 916.07 × 369.11
  4. Step 4: Simplify right side
    663.88x = 338,124.17
  5. Step 5: Solve for x
    x = 338,124.17/663.88
  6. Step 6: Final answer
    x = 509.32

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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.