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Finding the Fourth Proportional to 497.89, 686.43 and 409.04

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Solution

The fourth proportional to 497.89, 686.43 and 409.04 is: 563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.89 : 686.43 = 409.04 : x
  2. Step 2: Convert to fraction form
    497.89/686.43 = 409.04/x
  3. Step 3: Cross multiply
    497.89x = 686.43 × 409.04
  4. Step 4: Simplify right side
    497.89x = 280,777.33
  5. Step 5: Solve for x
    x = 280,777.33/497.89
  6. Step 6: Final answer
    x = 563.93

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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.