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Finding the Fourth Proportional to 609.98, 841.70 and 361.31

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Solution

The fourth proportional to 609.98, 841.70 and 361.31 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 841.70 = 361.31 : x
  2. Step 2: Convert to fraction form
    609.98/841.70 = 361.31/x
  3. Step 3: Cross multiply
    609.98x = 841.70 × 361.31
  4. Step 4: Simplify right side
    609.98x = 304,111.32
  5. Step 5: Solve for x
    x = 304,111.32/609.98
  6. Step 6: Final answer
    x = 498.56

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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.