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Finding the Fourth Proportional to 538.04, 742.57 and 341.48

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Solution

The fourth proportional to 538.04, 742.57 and 341.48 is: 471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.04 : 742.57 = 341.48 : x
  2. Step 2: Convert to fraction form
    538.04/742.57 = 341.48/x
  3. Step 3: Cross multiply
    538.04x = 742.57 × 341.48
  4. Step 4: Simplify right side
    538.04x = 253,573.81
  5. Step 5: Solve for x
    x = 253,573.81/538.04
  6. Step 6: Final answer
    x = 471.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.