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Finding the Fourth Proportional to 444.17, 666.41 and 412.89

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Solution

The fourth proportional to 444.17, 666.41 and 412.89 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.17 : 666.41 = 412.89 : x
  2. Step 2: Convert to fraction form
    444.17/666.41 = 412.89/x
  3. Step 3: Cross multiply
    444.17x = 666.41 × 412.89
  4. Step 4: Simplify right side
    444.17x = 275,154.02
  5. Step 5: Solve for x
    x = 275,154.02/444.17
  6. Step 6: Final answer
    x = 619.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.