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Finding the Fourth Proportional to 539.48, 744.31 and 364.93

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Solution

The fourth proportional to 539.48, 744.31 and 364.93 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.48 : 744.31 = 364.93 : x
  2. Step 2: Convert to fraction form
    539.48/744.31 = 364.93/x
  3. Step 3: Cross multiply
    539.48x = 744.31 × 364.93
  4. Step 4: Simplify right side
    539.48x = 271,621.05
  5. Step 5: Solve for x
    x = 271,621.05/539.48
  6. Step 6: Final answer
    x = 503.49

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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.