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Finding the Fourth Proportional to 605.82, 836.51 and 465.72

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Solution

The fourth proportional to 605.82, 836.51 and 465.72 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 836.51 = 465.72 : x
  2. Step 2: Convert to fraction form
    605.82/836.51 = 465.72/x
  3. Step 3: Cross multiply
    605.82x = 836.51 × 465.72
  4. Step 4: Simplify right side
    605.82x = 389,579.44
  5. Step 5: Solve for x
    x = 389,579.44/605.82
  6. Step 6: Final answer
    x = 643.06

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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.