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Finding the Fourth Proportional to 538.21, 742.87 and 314.33

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Solution

The fourth proportional to 538.21, 742.87 and 314.33 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.21 : 742.87 = 314.33 : x
  2. Step 2: Convert to fraction form
    538.21/742.87 = 314.33/x
  3. Step 3: Cross multiply
    538.21x = 742.87 × 314.33
  4. Step 4: Simplify right side
    538.21x = 233,503.01
  5. Step 5: Solve for x
    x = 233,503.01/538.21
  6. Step 6: Final answer
    x = 433.85

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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.