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Finding the Fourth Proportional to 539.47, 743.88 and 364.51

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Solution

The fourth proportional to 539.47, 743.88 and 364.51 is: 502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.47 : 743.88 = 364.51 : x
  2. Step 2: Convert to fraction form
    539.47/743.88 = 364.51/x
  3. Step 3: Cross multiply
    539.47x = 743.88 × 364.51
  4. Step 4: Simplify right side
    539.47x = 271,151.70
  5. Step 5: Solve for x
    x = 271,151.70/539.47
  6. Step 6: Final answer
    x = 502.63

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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.