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Finding the Fourth Proportional to 539.69, 744.93 and 365.13

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Solution

The fourth proportional to 539.69, 744.93 and 365.13 is: 503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.69 : 744.93 = 365.13 : x
  2. Step 2: Convert to fraction form
    539.69/744.93 = 365.13/x
  3. Step 3: Cross multiply
    539.69x = 744.93 × 365.13
  4. Step 4: Simplify right side
    539.69x = 271,996.29
  5. Step 5: Solve for x
    x = 271,996.29/539.69
  6. Step 6: Final answer
    x = 503.99

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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.