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Finding the Fourth Proportional to 313.70, 472.97 and 272.93

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Solution

The fourth proportional to 313.70, 472.97 and 272.93 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 472.97 = 272.93 : x
  2. Step 2: Convert to fraction form
    313.70/472.97 = 272.93/x
  3. Step 3: Cross multiply
    313.70x = 472.97 × 272.93
  4. Step 4: Simplify right side
    313.70x = 129,087.70
  5. Step 5: Solve for x
    x = 129,087.70/313.70
  6. Step 6: Final answer
    x = 411.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.