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Finding the Fourth Proportional to 459.26, 687.97 and 285.51

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Solution

The fourth proportional to 459.26, 687.97 and 285.51 is: 427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.26 : 687.97 = 285.51 : x
  2. Step 2: Convert to fraction form
    459.26/687.97 = 285.51/x
  3. Step 3: Cross multiply
    459.26x = 687.97 × 285.51
  4. Step 4: Simplify right side
    459.26x = 196,422.31
  5. Step 5: Solve for x
    x = 196,422.31/459.26
  6. Step 6: Final answer
    x = 427.69

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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.