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Finding the Fourth Proportional to 304.63, 420.32 and 173.61

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Solution

The fourth proportional to 304.63, 420.32 and 173.61 is: 239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.63 : 420.32 = 173.61 : x
  2. Step 2: Convert to fraction form
    304.63/420.32 = 173.61/x
  3. Step 3: Cross multiply
    304.63x = 420.32 × 173.61
  4. Step 4: Simplify right side
    304.63x = 72,972.19
  5. Step 5: Solve for x
    x = 72,972.19/304.63
  6. Step 6: Final answer
    x = 239.55

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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.