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Finding the Fourth Proportional to 609.84, 841.69 and 361.29

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Solution

The fourth proportional to 609.84, 841.69 and 361.29 is: 498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.84 : 841.69 = 361.29 : x
  2. Step 2: Convert to fraction form
    609.84/841.69 = 361.29/x
  3. Step 3: Cross multiply
    609.84x = 841.69 × 361.29
  4. Step 4: Simplify right side
    609.84x = 304,097.79
  5. Step 5: Solve for x
    x = 304,097.79/609.84
  6. Step 6: Final answer
    x = 498.65

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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.