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Finding the Fourth Proportional to 366.51, 501.41 and 364.96

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Solution

The fourth proportional to 366.51, 501.41 and 364.96 is: 499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.51 : 501.41 = 364.96 : x
  2. Step 2: Convert to fraction form
    366.51/501.41 = 364.96/x
  3. Step 3: Cross multiply
    366.51x = 501.41 × 364.96
  4. Step 4: Simplify right side
    366.51x = 182,994.59
  5. Step 5: Solve for x
    x = 182,994.59/366.51
  6. Step 6: Final answer
    x = 499.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.