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Finding the Fourth Proportional to 338.30, 504.38 and 305.50

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Solution

The fourth proportional to 338.30, 504.38 and 305.50 is: 455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 504.38 = 305.50 : x
  2. Step 2: Convert to fraction form
    338.30/504.38 = 305.50/x
  3. Step 3: Cross multiply
    338.30x = 504.38 × 305.50
  4. Step 4: Simplify right side
    338.30x = 154,085.40
  5. Step 5: Solve for x
    x = 154,085.40/338.30
  6. Step 6: Final answer
    x = 455.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.