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Finding the Fourth Proportional to 511.69, 767.25 and 303.54

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Solution

The fourth proportional to 511.69, 767.25 and 303.54 is: 455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 767.25 = 303.54 : x
  2. Step 2: Convert to fraction form
    511.69/767.25 = 303.54/x
  3. Step 3: Cross multiply
    511.69x = 767.25 × 303.54
  4. Step 4: Simplify right side
    511.69x = 232,891.07
  5. Step 5: Solve for x
    x = 232,891.07/511.69
  6. Step 6: Final answer
    x = 455.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.