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Finding the Fourth Proportional to 444.82, 613.63 and 297.67

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Solution

The fourth proportional to 444.82, 613.63 and 297.67 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.82 : 613.63 = 297.67 : x
  2. Step 2: Convert to fraction form
    444.82/613.63 = 297.67/x
  3. Step 3: Cross multiply
    444.82x = 613.63 × 297.67
  4. Step 4: Simplify right side
    444.82x = 182,659.24
  5. Step 5: Solve for x
    x = 182,659.24/444.82
  6. Step 6: Final answer
    x = 410.64

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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.