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Finding the Fourth Proportional to 583.18, 804.61 and 386.49

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Solution

The fourth proportional to 583.18, 804.61 and 386.49 is: 533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.18 : 804.61 = 386.49 : x
  2. Step 2: Convert to fraction form
    583.18/804.61 = 386.49/x
  3. Step 3: Cross multiply
    583.18x = 804.61 × 386.49
  4. Step 4: Simplify right side
    583.18x = 310,968.73
  5. Step 5: Solve for x
    x = 310,968.73/583.18
  6. Step 6: Final answer
    x = 533.23

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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.