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Finding the Fourth Proportional to 584.08, 804.87 and 496.60

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Solution

The fourth proportional to 584.08, 804.87 and 496.60 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.08 : 804.87 = 496.60 : x
  2. Step 2: Convert to fraction form
    584.08/804.87 = 496.60/x
  3. Step 3: Cross multiply
    584.08x = 804.87 × 496.60
  4. Step 4: Simplify right side
    584.08x = 399,698.44
  5. Step 5: Solve for x
    x = 399,698.44/584.08
  6. Step 6: Final answer
    x = 684.32

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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.