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Finding the Fourth Proportional to 312.35, 429.89 and 238.50

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Solution

The fourth proportional to 312.35, 429.89 and 238.50 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 429.89 = 238.50 : x
  2. Step 2: Convert to fraction form
    312.35/429.89 = 238.50/x
  3. Step 3: Cross multiply
    312.35x = 429.89 × 238.50
  4. Step 4: Simplify right side
    312.35x = 102,527.57
  5. Step 5: Solve for x
    x = 102,527.57/312.35
  6. Step 6: Final answer
    x = 328.25

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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.