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Finding the Fourth Proportional to 437.68, 604.32 and 290.56

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Solution

The fourth proportional to 437.68, 604.32 and 290.56 is: 401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 604.32 = 290.56 : x
  2. Step 2: Convert to fraction form
    437.68/604.32 = 290.56/x
  3. Step 3: Cross multiply
    437.68x = 604.32 × 290.56
  4. Step 4: Simplify right side
    437.68x = 175,591.22
  5. Step 5: Solve for x
    x = 175,591.22/437.68
  6. Step 6: Final answer
    x = 401.19

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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.