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Finding the Fourth Proportional to 583.08, 804.33 and 396.57

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Solution

The fourth proportional to 583.08, 804.33 and 396.57 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.08 : 804.33 = 396.57 : x
  2. Step 2: Convert to fraction form
    583.08/804.33 = 396.57/x
  3. Step 3: Cross multiply
    583.08x = 804.33 × 396.57
  4. Step 4: Simplify right side
    583.08x = 318,973.15
  5. Step 5: Solve for x
    x = 318,973.15/583.08
  6. Step 6: Final answer
    x = 547.05

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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.