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Finding the Fourth Proportional to 511.26, 764.73 and 407.58

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Solution

The fourth proportional to 511.26, 764.73 and 407.58 is: 609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 764.73 = 407.58 : x
  2. Step 2: Convert to fraction form
    511.26/764.73 = 407.58/x
  3. Step 3: Cross multiply
    511.26x = 764.73 × 407.58
  4. Step 4: Simplify right side
    511.26x = 311,688.65
  5. Step 5: Solve for x
    x = 311,688.65/511.26
  6. Step 6: Final answer
    x = 609.65

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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.