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Finding the Fourth Proportional to 599.55, 899.38 and 438.26

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Solution

The fourth proportional to 599.55, 899.38 and 438.26 is: 657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.55 : 899.38 = 438.26 : x
  2. Step 2: Convert to fraction form
    599.55/899.38 = 438.26/x
  3. Step 3: Cross multiply
    599.55x = 899.38 × 438.26
  4. Step 4: Simplify right side
    599.55x = 394,157.84
  5. Step 5: Solve for x
    x = 394,157.84/599.55
  6. Step 6: Final answer
    x = 657.42

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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.