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Finding the Fourth Proportional to 544.06, 750.43 and 334.09

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Solution

The fourth proportional to 544.06, 750.43 and 334.09 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.06 : 750.43 = 334.09 : x
  2. Step 2: Convert to fraction form
    544.06/750.43 = 334.09/x
  3. Step 3: Cross multiply
    544.06x = 750.43 × 334.09
  4. Step 4: Simplify right side
    544.06x = 250,705.74
  5. Step 5: Solve for x
    x = 250,705.74/544.06
  6. Step 6: Final answer
    x = 460.81

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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.