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Finding the Fourth Proportional to 662.30, 913.62 and 422.58

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Solution

The fourth proportional to 662.30, 913.62 and 422.58 is: 582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 913.62 = 422.58 : x
  2. Step 2: Convert to fraction form
    662.30/913.62 = 422.58/x
  3. Step 3: Cross multiply
    662.30x = 913.62 × 422.58
  4. Step 4: Simplify right side
    662.30x = 386,077.54
  5. Step 5: Solve for x
    x = 386,077.54/662.30
  6. Step 6: Final answer
    x = 582.93

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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.