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Finding the Fourth Proportional to 337.92, 464.32 and 305.52

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Solution

The fourth proportional to 337.92, 464.32 and 305.52 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 464.32 = 305.52 : x
  2. Step 2: Convert to fraction form
    337.92/464.32 = 305.52/x
  3. Step 3: Cross multiply
    337.92x = 464.32 × 305.52
  4. Step 4: Simplify right side
    337.92x = 141,859.05
  5. Step 5: Solve for x
    x = 141,859.05/337.92
  6. Step 6: Final answer
    x = 419.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.