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Finding the Fourth Proportional to 461.43, 637.74 and 406.62

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Solution

The fourth proportional to 461.43, 637.74 and 406.62 is: 561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 637.74 = 406.62 : x
  2. Step 2: Convert to fraction form
    461.43/637.74 = 406.62/x
  3. Step 3: Cross multiply
    461.43x = 637.74 × 406.62
  4. Step 4: Simplify right side
    461.43x = 259,317.84
  5. Step 5: Solve for x
    x = 259,317.84/461.43
  6. Step 6: Final answer
    x = 561.99

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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.