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Finding the Fourth Proportional to 539.29, 743.74 and 364.87

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Solution

The fourth proportional to 539.29, 743.74 and 364.87 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.29 : 743.74 = 364.87 : x
  2. Step 2: Convert to fraction form
    539.29/743.74 = 364.87/x
  3. Step 3: Cross multiply
    539.29x = 743.74 × 364.87
  4. Step 4: Simplify right side
    539.29x = 271,368.41
  5. Step 5: Solve for x
    x = 271,368.41/539.29
  6. Step 6: Final answer
    x = 503.20

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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.