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Finding the Fourth Proportional to 511.75, 766.40 and 294.87

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Solution

The fourth proportional to 511.75, 766.40 and 294.87 is: 441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 766.40 = 294.87 : x
  2. Step 2: Convert to fraction form
    511.75/766.40 = 294.87/x
  3. Step 3: Cross multiply
    511.75x = 766.40 × 294.87
  4. Step 4: Simplify right side
    511.75x = 225,988.37
  5. Step 5: Solve for x
    x = 225,988.37/511.75
  6. Step 6: Final answer
    x = 441.60

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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.