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Finding the Fourth Proportional to 433.97, 599.03 and 259.31

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Solution

The fourth proportional to 433.97, 599.03 and 259.31 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.97 : 599.03 = 259.31 : x
  2. Step 2: Convert to fraction form
    433.97/599.03 = 259.31/x
  3. Step 3: Cross multiply
    433.97x = 599.03 × 259.31
  4. Step 4: Simplify right side
    433.97x = 155,335.64
  5. Step 5: Solve for x
    x = 155,335.64/433.97
  6. Step 6: Final answer
    x = 357.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.