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Finding the Fourth Proportional to 368.52, 508.23 and 237.54

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Solution

The fourth proportional to 368.52, 508.23 and 237.54 is: 327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.52 : 508.23 = 237.54 : x
  2. Step 2: Convert to fraction form
    368.52/508.23 = 237.54/x
  3. Step 3: Cross multiply
    368.52x = 508.23 × 237.54
  4. Step 4: Simplify right side
    368.52x = 120,724.95
  5. Step 5: Solve for x
    x = 120,724.95/368.52
  6. Step 6: Final answer
    x = 327.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.