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Finding the Fourth Proportional to 433.13, 597.74 and 328.02

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Solution

The fourth proportional to 433.13, 597.74 and 328.02 is: 452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 597.74 = 328.02 : x
  2. Step 2: Convert to fraction form
    433.13/597.74 = 328.02/x
  3. Step 3: Cross multiply
    433.13x = 597.74 × 328.02
  4. Step 4: Simplify right side
    433.13x = 196,069.03
  5. Step 5: Solve for x
    x = 196,069.03/433.13
  6. Step 6: Final answer
    x = 452.68

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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.