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Finding the Fourth Proportional to 498.12, 686.79 and 409.29

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Solution

The fourth proportional to 498.12, 686.79 and 409.29 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.12 : 686.79 = 409.29 : x
  2. Step 2: Convert to fraction form
    498.12/686.79 = 409.29/x
  3. Step 3: Cross multiply
    498.12x = 686.79 × 409.29
  4. Step 4: Simplify right side
    498.12x = 281,096.28
  5. Step 5: Solve for x
    x = 281,096.28/498.12
  6. Step 6: Final answer
    x = 564.31

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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.