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Finding the Fourth Proportional to 431.30, 595.19 and 234.81

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Solution

The fourth proportional to 431.30, 595.19 and 234.81 is: 324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 595.19 = 234.81 : x
  2. Step 2: Convert to fraction form
    431.30/595.19 = 234.81/x
  3. Step 3: Cross multiply
    431.30x = 595.19 × 234.81
  4. Step 4: Simplify right side
    431.30x = 139,757.15
  5. Step 5: Solve for x
    x = 139,757.15/431.30
  6. Step 6: Final answer
    x = 324.04

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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.