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Finding the Fourth Proportional to 456.37, 684.23 and 233.57

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Solution

The fourth proportional to 456.37, 684.23 and 233.57 is: 350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.37 : 684.23 = 233.57 : x
  2. Step 2: Convert to fraction form
    456.37/684.23 = 233.57/x
  3. Step 3: Cross multiply
    456.37x = 684.23 × 233.57
  4. Step 4: Simplify right side
    456.37x = 159,811.01
  5. Step 5: Solve for x
    x = 159,811.01/456.37
  6. Step 6: Final answer
    x = 350.18

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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.