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Finding the Fourth Proportional to 312.96, 431.68 and 230.07

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Solution

The fourth proportional to 312.96, 431.68 and 230.07 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 431.68 = 230.07 : x
  2. Step 2: Convert to fraction form
    312.96/431.68 = 230.07/x
  3. Step 3: Cross multiply
    312.96x = 431.68 × 230.07
  4. Step 4: Simplify right side
    312.96x = 99,316.62
  5. Step 5: Solve for x
    x = 99,316.62/312.96
  6. Step 6: Final answer
    x = 317.35

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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.