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Finding the Fourth Proportional to 337.53, 466.63 and 334.46

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Solution

The fourth proportional to 337.53, 466.63 and 334.46 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.53 : 466.63 = 334.46 : x
  2. Step 2: Convert to fraction form
    337.53/466.63 = 334.46/x
  3. Step 3: Cross multiply
    337.53x = 466.63 × 334.46
  4. Step 4: Simplify right side
    337.53x = 156,065.06
  5. Step 5: Solve for x
    x = 156,065.06/337.53
  6. Step 6: Final answer
    x = 462.37

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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.