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Finding the Fourth Proportional to 337.86, 466.99 and 298.24

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Solution

The fourth proportional to 337.86, 466.99 and 298.24 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.86 : 466.99 = 298.24 : x
  2. Step 2: Convert to fraction form
    337.86/466.99 = 298.24/x
  3. Step 3: Cross multiply
    337.86x = 466.99 × 298.24
  4. Step 4: Simplify right side
    337.86x = 139,273.18
  5. Step 5: Solve for x
    x = 139,273.18/337.86
  6. Step 6: Final answer
    x = 412.22

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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.