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Finding the Fourth Proportional to 544.04, 749.96 and 334.06

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Solution

The fourth proportional to 544.04, 749.96 and 334.06 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.04 : 749.96 = 334.06 : x
  2. Step 2: Convert to fraction form
    544.04/749.96 = 334.06/x
  3. Step 3: Cross multiply
    544.04x = 749.96 × 334.06
  4. Step 4: Simplify right side
    544.04x = 250,528.09
  5. Step 5: Solve for x
    x = 250,528.09/544.04
  6. Step 6: Final answer
    x = 460.49

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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.