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Finding the Fourth Proportional to 538.75, 743.44 and 317.65

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Solution

The fourth proportional to 538.75, 743.44 and 317.65 is: 438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 743.44 = 317.65 : x
  2. Step 2: Convert to fraction form
    538.75/743.44 = 317.65/x
  3. Step 3: Cross multiply
    538.75x = 743.44 × 317.65
  4. Step 4: Simplify right side
    538.75x = 236,153.72
  5. Step 5: Solve for x
    x = 236,153.72/538.75
  6. Step 6: Final answer
    x = 438.34

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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.