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Finding the Fourth Proportional to 333.74, 460.32 and 306.20

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Solution

The fourth proportional to 333.74, 460.32 and 306.20 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 460.32 = 306.20 : x
  2. Step 2: Convert to fraction form
    333.74/460.32 = 306.20/x
  3. Step 3: Cross multiply
    333.74x = 460.32 × 306.20
  4. Step 4: Simplify right side
    333.74x = 140,948.45
  5. Step 5: Solve for x
    x = 140,948.45/333.74
  6. Step 6: Final answer
    x = 422.34

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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.