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Finding the Fourth Proportional to 648.96, 973.34 and 238

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Solution

The fourth proportional to 648.96, 973.34 and 238 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 973.34 = 238 : x
  2. Step 2: Convert to fraction form
    648.96/973.34 = 238/x
  3. Step 3: Cross multiply
    648.96x = 973.34 × 238
  4. Step 4: Simplify right side
    648.96x = 231,654.92
  5. Step 5: Solve for x
    x = 231,654.92/648.96
  6. Step 6: Final answer
    x = 356.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.