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Finding the Fourth Proportional to 312.08, 430.58 and 246.48

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Solution

The fourth proportional to 312.08, 430.58 and 246.48 is: 340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 430.58 = 246.48 : x
  2. Step 2: Convert to fraction form
    312.08/430.58 = 246.48/x
  3. Step 3: Cross multiply
    312.08x = 430.58 × 246.48
  4. Step 4: Simplify right side
    312.08x = 106,129.36
  5. Step 5: Solve for x
    x = 106,129.36/312.08
  6. Step 6: Final answer
    x = 340.07

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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.