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Finding the Fourth Proportional to 434.22, 650.19 and 297.06

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Solution

The fourth proportional to 434.22, 650.19 and 297.06 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 650.19 = 297.06 : x
  2. Step 2: Convert to fraction form
    434.22/650.19 = 297.06/x
  3. Step 3: Cross multiply
    434.22x = 650.19 × 297.06
  4. Step 4: Simplify right side
    434.22x = 193,145.44
  5. Step 5: Solve for x
    x = 193,145.44/434.22
  6. Step 6: Final answer
    x = 444.81

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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.