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Finding the Fourth Proportional to 608.89, 913.65 and 389.64

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Solution

The fourth proportional to 608.89, 913.65 and 389.64 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.89 : 913.65 = 389.64 : x
  2. Step 2: Convert to fraction form
    608.89/913.65 = 389.64/x
  3. Step 3: Cross multiply
    608.89x = 913.65 × 389.64
  4. Step 4: Simplify right side
    608.89x = 355,992.13
  5. Step 5: Solve for x
    x = 355,992.13/608.89
  6. Step 6: Final answer
    x = 584.66

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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.