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Finding the Fourth Proportional to 648.89, 973.59 and 238.06

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Solution

The fourth proportional to 648.89, 973.59 and 238.06 is: 357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.89 : 973.59 = 238.06 : x
  2. Step 2: Convert to fraction form
    648.89/973.59 = 238.06/x
  3. Step 3: Cross multiply
    648.89x = 973.59 × 238.06
  4. Step 4: Simplify right side
    648.89x = 231,767.97
  5. Step 5: Solve for x
    x = 231,767.97/648.89
  6. Step 6: Final answer
    x = 357.18

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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.