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Finding the Fourth Proportional to 433.07, 597.64 and 236.60

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Solution

The fourth proportional to 433.07, 597.64 and 236.60 is: 326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.07 : 597.64 = 236.60 : x
  2. Step 2: Convert to fraction form
    433.07/597.64 = 236.60/x
  3. Step 3: Cross multiply
    433.07x = 597.64 × 236.60
  4. Step 4: Simplify right side
    433.07x = 141,398.64
  5. Step 5: Solve for x
    x = 141,398.64/433.07
  6. Step 6: Final answer
    x = 326.51

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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.