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Finding the Fourth Proportional to 313.62, 431.70 and 250.98

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Solution

The fourth proportional to 313.62, 431.70 and 250.98 is: 345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 431.70 = 250.98 : x
  2. Step 2: Convert to fraction form
    313.62/431.70 = 250.98/x
  3. Step 3: Cross multiply
    313.62x = 431.70 × 250.98
  4. Step 4: Simplify right side
    313.62x = 108,348.07
  5. Step 5: Solve for x
    x = 108,348.07/313.62
  6. Step 6: Final answer
    x = 345.48

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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.