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Finding the Fourth Proportional to 608.77, 913.38 and 284.16

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Solution

The fourth proportional to 608.77, 913.38 and 284.16 is: 426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.77 : 913.38 = 284.16 : x
  2. Step 2: Convert to fraction form
    608.77/913.38 = 284.16/x
  3. Step 3: Cross multiply
    608.77x = 913.38 × 284.16
  4. Step 4: Simplify right side
    608.77x = 259,543.28
  5. Step 5: Solve for x
    x = 259,543.28/608.77
  6. Step 6: Final answer
    x = 426.34

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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.