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Finding the Fourth Proportional to 609.98, 841.73 and 361.25

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Solution

The fourth proportional to 609.98, 841.73 and 361.25 is: 498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 841.73 = 361.25 : x
  2. Step 2: Convert to fraction form
    609.98/841.73 = 361.25/x
  3. Step 3: Cross multiply
    609.98x = 841.73 × 361.25
  4. Step 4: Simplify right side
    609.98x = 304,068.95
  5. Step 5: Solve for x
    x = 304,068.95/609.98
  6. Step 6: Final answer
    x = 498.49

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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.