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Finding the Fourth Proportional to 338.94, 509.01 and 323.55

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Solution

The fourth proportional to 338.94, 509.01 and 323.55 is: 485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 509.01 = 323.55 : x
  2. Step 2: Convert to fraction form
    338.94/509.01 = 323.55/x
  3. Step 3: Cross multiply
    338.94x = 509.01 × 323.55
  4. Step 4: Simplify right side
    338.94x = 164,690.19
  5. Step 5: Solve for x
    x = 164,690.19/338.94
  6. Step 6: Final answer
    x = 485.90

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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.