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Finding the Fourth Proportional to 456.33, 684.57 and 236.89

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Solution

The fourth proportional to 456.33, 684.57 and 236.89 is: 355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 684.57 = 236.89 : x
  2. Step 2: Convert to fraction form
    456.33/684.57 = 236.89/x
  3. Step 3: Cross multiply
    456.33x = 684.57 × 236.89
  4. Step 4: Simplify right side
    456.33x = 162,167.79
  5. Step 5: Solve for x
    x = 162,167.79/456.33
  6. Step 6: Final answer
    x = 355.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.