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Finding the Fourth Proportional to 541.86, 813.51 and 310.98

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Solution

The fourth proportional to 541.86, 813.51 and 310.98 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 813.51 = 310.98 : x
  2. Step 2: Convert to fraction form
    541.86/813.51 = 310.98/x
  3. Step 3: Cross multiply
    541.86x = 813.51 × 310.98
  4. Step 4: Simplify right side
    541.86x = 252,985.34
  5. Step 5: Solve for x
    x = 252,985.34/541.86
  6. Step 6: Final answer
    x = 466.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.