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Finding the Fourth Proportional to 368.20, 508.38 and 257.92

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Solution

The fourth proportional to 368.20, 508.38 and 257.92 is: 356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.20 : 508.38 = 257.92 : x
  2. Step 2: Convert to fraction form
    368.20/508.38 = 257.92/x
  3. Step 3: Cross multiply
    368.20x = 508.38 × 257.92
  4. Step 4: Simplify right side
    368.20x = 131,121.37
  5. Step 5: Solve for x
    x = 131,121.37/368.20
  6. Step 6: Final answer
    x = 356.11

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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.