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Finding the Fourth Proportional to 307.94, 462.38 and 297.32

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Solution

The fourth proportional to 307.94, 462.38 and 297.32 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 462.38 = 297.32 : x
  2. Step 2: Convert to fraction form
    307.94/462.38 = 297.32/x
  3. Step 3: Cross multiply
    307.94x = 462.38 × 297.32
  4. Step 4: Simplify right side
    307.94x = 137,471.02
  5. Step 5: Solve for x
    x = 137,471.02/307.94
  6. Step 6: Final answer
    x = 446.43

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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.