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Finding the Fourth Proportional to 511.69, 767.59 and 237.75

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Solution

The fourth proportional to 511.69, 767.59 and 237.75 is: 356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 767.59 = 237.75 : x
  2. Step 2: Convert to fraction form
    511.69/767.59 = 237.75/x
  3. Step 3: Cross multiply
    511.69x = 767.59 × 237.75
  4. Step 4: Simplify right side
    511.69x = 182,494.52
  5. Step 5: Solve for x
    x = 182,494.52/511.69
  6. Step 6: Final answer
    x = 356.65

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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.