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Finding the Fourth Proportional to 620.82, 854.37 and 465.30

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Solution

The fourth proportional to 620.82, 854.37 and 465.30 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.82 : 854.37 = 465.30 : x
  2. Step 2: Convert to fraction form
    620.82/854.37 = 465.30/x
  3. Step 3: Cross multiply
    620.82x = 854.37 × 465.30
  4. Step 4: Simplify right side
    620.82x = 397,538.36
  5. Step 5: Solve for x
    x = 397,538.36/620.82
  6. Step 6: Final answer
    x = 640.34

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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.