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Finding the Fourth Proportional to 609.53, 841.29 and 361.00

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Solution

The fourth proportional to 609.53, 841.29 and 361.00 is: 498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.53 : 841.29 = 361.00 : x
  2. Step 2: Convert to fraction form
    609.53/841.29 = 361.00/x
  3. Step 3: Cross multiply
    609.53x = 841.29 × 361.00
  4. Step 4: Simplify right side
    609.53x = 303,701.48
  5. Step 5: Solve for x
    x = 303,701.48/609.53
  6. Step 6: Final answer
    x = 498.26

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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.