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Finding the Fourth Proportional to 538.29, 743.10 and 381.06

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Solution

The fourth proportional to 538.29, 743.10 and 381.06 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.29 : 743.10 = 381.06 : x
  2. Step 2: Convert to fraction form
    538.29/743.10 = 381.06/x
  3. Step 3: Cross multiply
    538.29x = 743.10 × 381.06
  4. Step 4: Simplify right side
    538.29x = 283,165.69
  5. Step 5: Solve for x
    x = 283,165.69/538.29
  6. Step 6: Final answer
    x = 526.05

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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.