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Finding the Fourth Proportional to 355.88, 490.56 and 262.36

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Solution

The fourth proportional to 355.88, 490.56 and 262.36 is: 361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.88 : 490.56 = 262.36 : x
  2. Step 2: Convert to fraction form
    355.88/490.56 = 262.36/x
  3. Step 3: Cross multiply
    355.88x = 490.56 × 262.36
  4. Step 4: Simplify right side
    355.88x = 128,703.32
  5. Step 5: Solve for x
    x = 128,703.32/355.88
  6. Step 6: Final answer
    x = 361.65

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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.