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Finding the Fourth Proportional to 344.59, 476.16 and 261.55

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Solution

The fourth proportional to 344.59, 476.16 and 261.55 is: 361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.59 : 476.16 = 261.55 : x
  2. Step 2: Convert to fraction form
    344.59/476.16 = 261.55/x
  3. Step 3: Cross multiply
    344.59x = 476.16 × 261.55
  4. Step 4: Simplify right side
    344.59x = 124,539.65
  5. Step 5: Solve for x
    x = 124,539.65/344.59
  6. Step 6: Final answer
    x = 361.41

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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.