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Finding the Fourth Proportional to 431.12, 594.89 and 254.13

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Solution

The fourth proportional to 431.12, 594.89 and 254.13 is: 350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 594.89 = 254.13 : x
  2. Step 2: Convert to fraction form
    431.12/594.89 = 254.13/x
  3. Step 3: Cross multiply
    431.12x = 594.89 × 254.13
  4. Step 4: Simplify right side
    431.12x = 151,179.40
  5. Step 5: Solve for x
    x = 151,179.40/431.12
  6. Step 6: Final answer
    x = 350.67

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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.