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Finding the Fourth Proportional to 437.77, 604.43 and 355.05

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Solution

The fourth proportional to 437.77, 604.43 and 355.05 is: 490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.77 : 604.43 = 355.05 : x
  2. Step 2: Convert to fraction form
    437.77/604.43 = 355.05/x
  3. Step 3: Cross multiply
    437.77x = 604.43 × 355.05
  4. Step 4: Simplify right side
    437.77x = 214,601.10
  5. Step 5: Solve for x
    x = 214,601.10/437.77
  6. Step 6: Final answer
    x = 490.21

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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.