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Finding the Fourth Proportional to 539.14, 811.58 and 386.14

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Solution

The fourth proportional to 539.14, 811.58 and 386.14 is: 581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 811.58 = 386.14 : x
  2. Step 2: Convert to fraction form
    539.14/811.58 = 386.14/x
  3. Step 3: Cross multiply
    539.14x = 811.58 × 386.14
  4. Step 4: Simplify right side
    539.14x = 313,383.50
  5. Step 5: Solve for x
    x = 313,383.50/539.14
  6. Step 6: Final answer
    x = 581.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.