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Finding the Fourth Proportional to 338.23, 508.42 and 323.83

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Solution

The fourth proportional to 338.23, 508.42 and 323.83 is: 486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 508.42 = 323.83 : x
  2. Step 2: Convert to fraction form
    338.23/508.42 = 323.83/x
  3. Step 3: Cross multiply
    338.23x = 508.42 × 323.83
  4. Step 4: Simplify right side
    338.23x = 164,639.11
  5. Step 5: Solve for x
    x = 164,639.11/338.23
  6. Step 6: Final answer
    x = 486.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.