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Finding the Fourth Proportional to 538.45, 742.97 and 317.39

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Solution

The fourth proportional to 538.45, 742.97 and 317.39 is: 437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 742.97 = 317.39 : x
  2. Step 2: Convert to fraction form
    538.45/742.97 = 317.39/x
  3. Step 3: Cross multiply
    538.45x = 742.97 × 317.39
  4. Step 4: Simplify right side
    538.45x = 235,808.33
  5. Step 5: Solve for x
    x = 235,808.33/538.45
  6. Step 6: Final answer
    x = 437.94

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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.