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Finding the Fourth Proportional to 538.12, 742.48 and 314

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Solution

The fourth proportional to 538.12, 742.48 and 314 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.12 : 742.48 = 314 : x
  2. Step 2: Convert to fraction form
    538.12/742.48 = 314/x
  3. Step 3: Cross multiply
    538.12x = 742.48 × 314
  4. Step 4: Simplify right side
    538.12x = 233,138.72
  5. Step 5: Solve for x
    x = 233,138.72/538.12
  6. Step 6: Final answer
    x = 433.25

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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.