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Finding the Fourth Proportional to 436.27, 653.80 and 230.76

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Solution

The fourth proportional to 436.27, 653.80 and 230.76 is: 345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.27 : 653.80 = 230.76 : x
  2. Step 2: Convert to fraction form
    436.27/653.80 = 230.76/x
  3. Step 3: Cross multiply
    436.27x = 653.80 × 230.76
  4. Step 4: Simplify right side
    436.27x = 150,866.47
  5. Step 5: Solve for x
    x = 150,866.47/436.27
  6. Step 6: Final answer
    x = 345.81

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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.