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Finding the Fourth Proportional to 511.34, 765.73 and 294.26

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Solution

The fourth proportional to 511.34, 765.73 and 294.26 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 765.73 = 294.26 : x
  2. Step 2: Convert to fraction form
    511.34/765.73 = 294.26/x
  3. Step 3: Cross multiply
    511.34x = 765.73 × 294.26
  4. Step 4: Simplify right side
    511.34x = 225,323.71
  5. Step 5: Solve for x
    x = 225,323.71/511.34
  6. Step 6: Final answer
    x = 440.65

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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.