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Finding the Fourth Proportional to 431.19, 595.02 and 234.70

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Solution

The fourth proportional to 431.19, 595.02 and 234.70 is: 323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 595.02 = 234.70 : x
  2. Step 2: Convert to fraction form
    431.19/595.02 = 234.70/x
  3. Step 3: Cross multiply
    431.19x = 595.02 × 234.70
  4. Step 4: Simplify right side
    431.19x = 139,651.19
  5. Step 5: Solve for x
    x = 139,651.19/431.19
  6. Step 6: Final answer
    x = 323.87

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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.