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Finding the Fourth Proportional to 312.84, 431.64 and 235.08

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Solution

The fourth proportional to 312.84, 431.64 and 235.08 is: 324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 431.64 = 235.08 : x
  2. Step 2: Convert to fraction form
    312.84/431.64 = 235.08/x
  3. Step 3: Cross multiply
    312.84x = 431.64 × 235.08
  4. Step 4: Simplify right side
    312.84x = 101,469.93
  5. Step 5: Solve for x
    x = 101,469.93/312.84
  6. Step 6: Final answer
    x = 324.35

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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.