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Finding the Fourth Proportional to 648.86, 973.67 and 238.02

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Solution

The fourth proportional to 648.86, 973.67 and 238.02 is: 357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 973.67 = 238.02 : x
  2. Step 2: Convert to fraction form
    648.86/973.67 = 238.02/x
  3. Step 3: Cross multiply
    648.86x = 973.67 × 238.02
  4. Step 4: Simplify right side
    648.86x = 231,751.74
  5. Step 5: Solve for x
    x = 231,751.74/648.86
  6. Step 6: Final answer
    x = 357.17

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