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Finding the Fourth Proportional to 451.66, 623.34 and 423.86

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Solution

The fourth proportional to 451.66, 623.34 and 423.86 is: 584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.66 : 623.34 = 423.86 : x
  2. Step 2: Convert to fraction form
    451.66/623.34 = 423.86/x
  3. Step 3: Cross multiply
    451.66x = 623.34 × 423.86
  4. Step 4: Simplify right side
    451.66x = 264,208.89
  5. Step 5: Solve for x
    x = 264,208.89/451.66
  6. Step 6: Final answer
    x = 584.97

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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.