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Finding the Fourth Proportional to 583.57, 802.94 and 504.64

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Solution

The fourth proportional to 583.57, 802.94 and 504.64 is: 694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.57 : 802.94 = 504.64 : x
  2. Step 2: Convert to fraction form
    583.57/802.94 = 504.64/x
  3. Step 3: Cross multiply
    583.57x = 802.94 × 504.64
  4. Step 4: Simplify right side
    583.57x = 405,194.78
  5. Step 5: Solve for x
    x = 405,194.78/583.57
  6. Step 6: Final answer
    x = 694.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.