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Finding the Fourth Proportional to 433.59, 599.14 and 309.03

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Solution

The fourth proportional to 433.59, 599.14 and 309.03 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.59 : 599.14 = 309.03 : x
  2. Step 2: Convert to fraction form
    433.59/599.14 = 309.03/x
  3. Step 3: Cross multiply
    433.59x = 599.14 × 309.03
  4. Step 4: Simplify right side
    433.59x = 185,154.33
  5. Step 5: Solve for x
    x = 185,154.33/433.59
  6. Step 6: Final answer
    x = 427.03

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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.