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Finding the Fourth Proportional to 648.81, 973.29 and 238.14

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Solution

The fourth proportional to 648.81, 973.29 and 238.14 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.81 : 973.29 = 238.14 : x
  2. Step 2: Convert to fraction form
    648.81/973.29 = 238.14/x
  3. Step 3: Cross multiply
    648.81x = 973.29 × 238.14
  4. Step 4: Simplify right side
    648.81x = 231,779.28
  5. Step 5: Solve for x
    x = 231,779.28/648.81
  6. Step 6: Final answer
    x = 357.24

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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.