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Finding the Fourth Proportional to 663.83, 916.15 and 369.16

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Solution

The fourth proportional to 663.83, 916.15 and 369.16 is: 509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.83 : 916.15 = 369.16 : x
  2. Step 2: Convert to fraction form
    663.83/916.15 = 369.16/x
  3. Step 3: Cross multiply
    663.83x = 916.15 × 369.16
  4. Step 4: Simplify right side
    663.83x = 338,202.72
  5. Step 5: Solve for x
    x = 338,202.72/663.83
  6. Step 6: Final answer
    x = 509.47

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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.