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Finding the Fourth Proportional to 539.06, 743.65 and 381.69

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Solution

The fourth proportional to 539.06, 743.65 and 381.69 is: 526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.06 : 743.65 = 381.69 : x
  2. Step 2: Convert to fraction form
    539.06/743.65 = 381.69/x
  3. Step 3: Cross multiply
    539.06x = 743.65 × 381.69
  4. Step 4: Simplify right side
    539.06x = 283,842.81
  5. Step 5: Solve for x
    x = 283,842.81/539.06
  6. Step 6: Final answer
    x = 526.56

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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.