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Finding the Fourth Proportional to 601.44, 829.74 and 444.44

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Solution

The fourth proportional to 601.44, 829.74 and 444.44 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 829.74 = 444.44 : x
  2. Step 2: Convert to fraction form
    601.44/829.74 = 444.44/x
  3. Step 3: Cross multiply
    601.44x = 829.74 × 444.44
  4. Step 4: Simplify right side
    601.44x = 368,765.50
  5. Step 5: Solve for x
    x = 368,765.50/601.44
  6. Step 6: Final answer
    x = 613.14

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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.