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Finding the Fourth Proportional to 559.58, 838.15 and 374.09

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Solution

The fourth proportional to 559.58, 838.15 and 374.09 is: 560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.58 : 838.15 = 374.09 : x
  2. Step 2: Convert to fraction form
    559.58/838.15 = 374.09/x
  3. Step 3: Cross multiply
    559.58x = 838.15 × 374.09
  4. Step 4: Simplify right side
    559.58x = 313,538.41
  5. Step 5: Solve for x
    x = 313,538.41/559.58
  6. Step 6: Final answer
    x = 560.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.