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Finding the Fourth Proportional to 337.41, 508.89 and 326.46

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Solution

The fourth proportional to 337.41, 508.89 and 326.46 is: 492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.41 : 508.89 = 326.46 : x
  2. Step 2: Convert to fraction form
    337.41/508.89 = 326.46/x
  3. Step 3: Cross multiply
    337.41x = 508.89 × 326.46
  4. Step 4: Simplify right side
    337.41x = 166,132.23
  5. Step 5: Solve for x
    x = 166,132.23/337.41
  6. Step 6: Final answer
    x = 492.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.