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Finding the Fourth Proportional to 539.14, 743.70 and 364.72

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Solution

The fourth proportional to 539.14, 743.70 and 364.72 is: 503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 743.70 = 364.72 : x
  2. Step 2: Convert to fraction form
    539.14/743.70 = 364.72/x
  3. Step 3: Cross multiply
    539.14x = 743.70 × 364.72
  4. Step 4: Simplify right side
    539.14x = 271,242.26
  5. Step 5: Solve for x
    x = 271,242.26/539.14
  6. Step 6: Final answer
    x = 503.10

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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.