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Finding the Fourth Proportional to 313.15, 431.67 and 246.64

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Solution

The fourth proportional to 313.15, 431.67 and 246.64 is: 339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.15 : 431.67 = 246.64 : x
  2. Step 2: Convert to fraction form
    313.15/431.67 = 246.64/x
  3. Step 3: Cross multiply
    313.15x = 431.67 × 246.64
  4. Step 4: Simplify right side
    313.15x = 106,466.01
  5. Step 5: Solve for x
    x = 106,466.01/313.15
  6. Step 6: Final answer
    x = 339.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.