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Finding the Fourth Proportional to 663.80, 916.06 and 369.08

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Solution

The fourth proportional to 663.80, 916.06 and 369.08 is: 509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.80 : 916.06 = 369.08 : x
  2. Step 2: Convert to fraction form
    663.80/916.06 = 369.08/x
  3. Step 3: Cross multiply
    663.80x = 916.06 × 369.08
  4. Step 4: Simplify right side
    663.80x = 338,099.42
  5. Step 5: Solve for x
    x = 338,099.42/663.80
  6. Step 6: Final answer
    x = 509.34

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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.