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Finding the Fourth Proportional to 450.82, 622.34 and 340.34

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Solution

The fourth proportional to 450.82, 622.34 and 340.34 is: 469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.82 : 622.34 = 340.34 : x
  2. Step 2: Convert to fraction form
    450.82/622.34 = 340.34/x
  3. Step 3: Cross multiply
    450.82x = 622.34 × 340.34
  4. Step 4: Simplify right side
    450.82x = 211,807.20
  5. Step 5: Solve for x
    x = 211,807.20/450.82
  6. Step 6: Final answer
    x = 469.83

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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.