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Finding the Fourth Proportional to 338.09, 508.98 and 230.57

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Solution

The fourth proportional to 338.09, 508.98 and 230.57 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.09 : 508.98 = 230.57 : x
  2. Step 2: Convert to fraction form
    338.09/508.98 = 230.57/x
  3. Step 3: Cross multiply
    338.09x = 508.98 × 230.57
  4. Step 4: Simplify right side
    338.09x = 117,354.37
  5. Step 5: Solve for x
    x = 117,354.37/338.09
  6. Step 6: Final answer
    x = 347.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.