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Finding the Fourth Proportional to 555.11, 765.80 and 365.81

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Solution

The fourth proportional to 555.11, 765.80 and 365.81 is: 504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.11 : 765.80 = 365.81 : x
  2. Step 2: Convert to fraction form
    555.11/765.80 = 365.81/x
  3. Step 3: Cross multiply
    555.11x = 765.80 × 365.81
  4. Step 4: Simplify right side
    555.11x = 280,137.22
  5. Step 5: Solve for x
    x = 280,137.22/555.11
  6. Step 6: Final answer
    x = 504.65

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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.