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Finding the Fourth Proportional to 584.89, 806.77 and 352.02

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Solution

The fourth proportional to 584.89, 806.77 and 352.02 is: 485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.89 : 806.77 = 352.02 : x
  2. Step 2: Convert to fraction form
    584.89/806.77 = 352.02/x
  3. Step 3: Cross multiply
    584.89x = 806.77 × 352.02
  4. Step 4: Simplify right side
    584.89x = 283,999.18
  5. Step 5: Solve for x
    x = 283,999.18/584.89
  6. Step 6: Final answer
    x = 485.56

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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.