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Finding the Fourth Proportional to 538.76, 743.49 and 317.71

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Solution

The fourth proportional to 538.76, 743.49 and 317.71 is: 438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 743.49 = 317.71 : x
  2. Step 2: Convert to fraction form
    538.76/743.49 = 317.71/x
  3. Step 3: Cross multiply
    538.76x = 743.49 × 317.71
  4. Step 4: Simplify right side
    538.76x = 236,208.90
  5. Step 5: Solve for x
    x = 236,208.90/538.76
  6. Step 6: Final answer
    x = 438.43

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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.