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Finding the Fourth Proportional to 313.77, 467.98 and 297.37

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Solution

The fourth proportional to 313.77, 467.98 and 297.37 is: 443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 467.98 = 297.37 : x
  2. Step 2: Convert to fraction form
    313.77/467.98 = 297.37/x
  3. Step 3: Cross multiply
    313.77x = 467.98 × 297.37
  4. Step 4: Simplify right side
    313.77x = 139,163.05
  5. Step 5: Solve for x
    x = 139,163.05/313.77
  6. Step 6: Final answer
    x = 443.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.