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Finding the Fourth Proportional to 538.41, 742.60 and 361.32

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Solution

The fourth proportional to 538.41, 742.60 and 361.32 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 742.60 = 361.32 : x
  2. Step 2: Convert to fraction form
    538.41/742.60 = 361.32/x
  3. Step 3: Cross multiply
    538.41x = 742.60 × 361.32
  4. Step 4: Simplify right side
    538.41x = 268,315.33
  5. Step 5: Solve for x
    x = 268,315.33/538.41
  6. Step 6: Final answer
    x = 498.35

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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.