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Finding the Fourth Proportional to 466.86, 645.66 and 408.54

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Solution

The fourth proportional to 466.86, 645.66 and 408.54 is: 565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.86 : 645.66 = 408.54 : x
  2. Step 2: Convert to fraction form
    466.86/645.66 = 408.54/x
  3. Step 3: Cross multiply
    466.86x = 645.66 × 408.54
  4. Step 4: Simplify right side
    466.86x = 263,777.94
  5. Step 5: Solve for x
    x = 263,777.94/466.86
  6. Step 6: Final answer
    x = 565.00

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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.