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Finding the Fourth Proportional to 538.77, 742.72 and 383.25

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Solution

The fourth proportional to 538.77, 742.72 and 383.25 is: 528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.77 : 742.72 = 383.25 : x
  2. Step 2: Convert to fraction form
    538.77/742.72 = 383.25/x
  3. Step 3: Cross multiply
    538.77x = 742.72 × 383.25
  4. Step 4: Simplify right side
    538.77x = 284,647.44
  5. Step 5: Solve for x
    x = 284,647.44/538.77
  6. Step 6: Final answer
    x = 528.33

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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.