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Finding the Fourth Proportional to 313.46, 469.54 and 231.14

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Solution

The fourth proportional to 313.46, 469.54 and 231.14 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.46 : 469.54 = 231.14 : x
  2. Step 2: Convert to fraction form
    313.46/469.54 = 231.14/x
  3. Step 3: Cross multiply
    313.46x = 469.54 × 231.14
  4. Step 4: Simplify right side
    313.46x = 108,529.48
  5. Step 5: Solve for x
    x = 108,529.48/313.46
  6. Step 6: Final answer
    x = 346.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.