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Finding the Fourth Proportional to 544.22, 751.40 and 419.67

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Solution

The fourth proportional to 544.22, 751.40 and 419.67 is: 579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.22 : 751.40 = 419.67 : x
  2. Step 2: Convert to fraction form
    544.22/751.40 = 419.67/x
  3. Step 3: Cross multiply
    544.22x = 751.40 × 419.67
  4. Step 4: Simplify right side
    544.22x = 315,337.94
  5. Step 5: Solve for x
    x = 315,337.94/544.22
  6. Step 6: Final answer
    x = 579.44

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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.