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Finding the Fourth Proportional to 385.36, 531.97 and 238.07

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Solution

The fourth proportional to 385.36, 531.97 and 238.07 is: 328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.36 : 531.97 = 238.07 : x
  2. Step 2: Convert to fraction form
    385.36/531.97 = 238.07/x
  3. Step 3: Cross multiply
    385.36x = 531.97 × 238.07
  4. Step 4: Simplify right side
    385.36x = 126,646.83
  5. Step 5: Solve for x
    x = 126,646.83/385.36
  6. Step 6: Final answer
    x = 328.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.