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Finding the Fourth Proportional to 433.10, 597.68 and 236.61

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Solution

The fourth proportional to 433.10, 597.68 and 236.61 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.10 : 597.68 = 236.61 : x
  2. Step 2: Convert to fraction form
    433.10/597.68 = 236.61/x
  3. Step 3: Cross multiply
    433.10x = 597.68 × 236.61
  4. Step 4: Simplify right side
    433.10x = 141,417.06
  5. Step 5: Solve for x
    x = 141,417.06/433.10
  6. Step 6: Final answer
    x = 326.52

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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.