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Finding the Fourth Proportional to 444.37, 614.67 and 416.49

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Solution

The fourth proportional to 444.37, 614.67 and 416.49 is: 576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.37 : 614.67 = 416.49 : x
  2. Step 2: Convert to fraction form
    444.37/614.67 = 416.49/x
  3. Step 3: Cross multiply
    444.37x = 614.67 × 416.49
  4. Step 4: Simplify right side
    444.37x = 256,005.84
  5. Step 5: Solve for x
    x = 256,005.84/444.37
  6. Step 6: Final answer
    x = 576.11

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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.