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Finding the Fourth Proportional to 385.47, 531.95 and 236.09

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Solution

The fourth proportional to 385.47, 531.95 and 236.09 is: 325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 531.95 = 236.09 : x
  2. Step 2: Convert to fraction form
    385.47/531.95 = 236.09/x
  3. Step 3: Cross multiply
    385.47x = 531.95 × 236.09
  4. Step 4: Simplify right side
    385.47x = 125,588.22
  5. Step 5: Solve for x
    x = 125,588.22/385.47
  6. Step 6: Final answer
    x = 325.81

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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.