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Finding the Fourth Proportional to 608.92, 913.05 and 284.51

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Solution

The fourth proportional to 608.92, 913.05 and 284.51 is: 426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.92 : 913.05 = 284.51 : x
  2. Step 2: Convert to fraction form
    608.92/913.05 = 284.51/x
  3. Step 3: Cross multiply
    608.92x = 913.05 × 284.51
  4. Step 4: Simplify right side
    608.92x = 259,771.86
  5. Step 5: Solve for x
    x = 259,771.86/608.92
  6. Step 6: Final answer
    x = 426.61

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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.