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Finding the Fourth Proportional to 337.83, 466.35 and 262.98

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Solution

The fourth proportional to 337.83, 466.35 and 262.98 is: 363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.83 : 466.35 = 262.98 : x
  2. Step 2: Convert to fraction form
    337.83/466.35 = 262.98/x
  3. Step 3: Cross multiply
    337.83x = 466.35 × 262.98
  4. Step 4: Simplify right side
    337.83x = 122,640.72
  5. Step 5: Solve for x
    x = 122,640.72/337.83
  6. Step 6: Final answer
    x = 363.02

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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.