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Finding the Fourth Proportional to 538.16, 742.26 and 341.74

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Solution

The fourth proportional to 538.16, 742.26 and 341.74 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 742.26 = 341.74 : x
  2. Step 2: Convert to fraction form
    538.16/742.26 = 341.74/x
  3. Step 3: Cross multiply
    538.16x = 742.26 × 341.74
  4. Step 4: Simplify right side
    538.16x = 253,658.08
  5. Step 5: Solve for x
    x = 253,658.08/538.16
  6. Step 6: Final answer
    x = 471.34

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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.