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Finding the Fourth Proportional to 583.44, 804.78 and 436.20

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Solution

The fourth proportional to 583.44, 804.78 and 436.20 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.44 : 804.78 = 436.20 : x
  2. Step 2: Convert to fraction form
    583.44/804.78 = 436.20/x
  3. Step 3: Cross multiply
    583.44x = 804.78 × 436.20
  4. Step 4: Simplify right side
    583.44x = 351,045.04
  5. Step 5: Solve for x
    x = 351,045.04/583.44
  6. Step 6: Final answer
    x = 601.68

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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.