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Finding the Fourth Proportional to 559.53, 837.74 and 285.03

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Solution

The fourth proportional to 559.53, 837.74 and 285.03 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.53 : 837.74 = 285.03 : x
  2. Step 2: Convert to fraction form
    559.53/837.74 = 285.03/x
  3. Step 3: Cross multiply
    559.53x = 837.74 × 285.03
  4. Step 4: Simplify right side
    559.53x = 238,781.03
  5. Step 5: Solve for x
    x = 238,781.03/559.53
  6. Step 6: Final answer
    x = 426.75

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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.