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Finding the Fourth Proportional to 583.27, 804.51 and 425.74

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Solution

The fourth proportional to 583.27, 804.51 and 425.74 is: 587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.27 : 804.51 = 425.74 : x
  2. Step 2: Convert to fraction form
    583.27/804.51 = 425.74/x
  3. Step 3: Cross multiply
    583.27x = 804.51 × 425.74
  4. Step 4: Simplify right side
    583.27x = 342,512.09
  5. Step 5: Solve for x
    x = 342,512.09/583.27
  6. Step 6: Final answer
    x = 587.23

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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.