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Finding the Fourth Proportional to 459.38, 687.74 and 285.53

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Solution

The fourth proportional to 459.38, 687.74 and 285.53 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 687.74 = 285.53 : x
  2. Step 2: Convert to fraction form
    459.38/687.74 = 285.53/x
  3. Step 3: Cross multiply
    459.38x = 687.74 × 285.53
  4. Step 4: Simplify right side
    459.38x = 196,365.54
  5. Step 5: Solve for x
    x = 196,365.54/459.38
  6. Step 6: Final answer
    x = 427.46

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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.