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Finding the Fourth Proportional to 539.82, 744.84 and 365.22

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Solution

The fourth proportional to 539.82, 744.84 and 365.22 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.82 : 744.84 = 365.22 : x
  2. Step 2: Convert to fraction form
    539.82/744.84 = 365.22/x
  3. Step 3: Cross multiply
    539.82x = 744.84 × 365.22
  4. Step 4: Simplify right side
    539.82x = 272,030.46
  5. Step 5: Solve for x
    x = 272,030.46/539.82
  6. Step 6: Final answer
    x = 503.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.