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Finding the Fourth Proportional to 538.88, 740.32 and 518.54

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Solution

The fourth proportional to 538.88, 740.32 and 518.54 is: 712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 740.32 = 518.54 : x
  2. Step 2: Convert to fraction form
    538.88/740.32 = 518.54/x
  3. Step 3: Cross multiply
    538.88x = 740.32 × 518.54
  4. Step 4: Simplify right side
    538.88x = 383,885.53
  5. Step 5: Solve for x
    x = 383,885.53/538.88
  6. Step 6: Final answer
    x = 712.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.