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Finding the Fourth Proportional to 541.86, 813.09 and 456.21

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Solution

The fourth proportional to 541.86, 813.09 and 456.21 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 813.09 = 456.21 : x
  2. Step 2: Convert to fraction form
    541.86/813.09 = 456.21/x
  3. Step 3: Cross multiply
    541.86x = 813.09 × 456.21
  4. Step 4: Simplify right side
    541.86x = 370,939.79
  5. Step 5: Solve for x
    x = 370,939.79/541.86
  6. Step 6: Final answer
    x = 684.57

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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.