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Finding the Fourth Proportional to 444.63, 614.35 and 333.06

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Solution

The fourth proportional to 444.63, 614.35 and 333.06 is: 460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.63 : 614.35 = 333.06 : x
  2. Step 2: Convert to fraction form
    444.63/614.35 = 333.06/x
  3. Step 3: Cross multiply
    444.63x = 614.35 × 333.06
  4. Step 4: Simplify right side
    444.63x = 204,617.68
  5. Step 5: Solve for x
    x = 204,617.68/444.63
  6. Step 6: Final answer
    x = 460.19

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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.