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Finding the Fourth Proportional to 608.81, 911.99 and 400.01

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Solution

The fourth proportional to 608.81, 911.99 and 400.01 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.81 : 911.99 = 400.01 : x
  2. Step 2: Convert to fraction form
    608.81/911.99 = 400.01/x
  3. Step 3: Cross multiply
    608.81x = 911.99 × 400.01
  4. Step 4: Simplify right side
    608.81x = 364,801.56
  5. Step 5: Solve for x
    x = 364,801.56/608.81
  6. Step 6: Final answer
    x = 599.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.