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Finding the Fourth Proportional to 538.52, 743.16 and 305.65

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Solution

The fourth proportional to 538.52, 743.16 and 305.65 is: 421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.52 : 743.16 = 305.65 : x
  2. Step 2: Convert to fraction form
    538.52/743.16 = 305.65/x
  3. Step 3: Cross multiply
    538.52x = 743.16 × 305.65
  4. Step 4: Simplify right side
    538.52x = 227,146.85
  5. Step 5: Solve for x
    x = 227,146.85/538.52
  6. Step 6: Final answer
    x = 421.80

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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.