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Finding the Fourth Proportional to 511.83, 766.50 and 294.75

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Solution

The fourth proportional to 511.83, 766.50 and 294.75 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.83 : 766.50 = 294.75 : x
  2. Step 2: Convert to fraction form
    511.83/766.50 = 294.75/x
  3. Step 3: Cross multiply
    511.83x = 766.50 × 294.75
  4. Step 4: Simplify right side
    511.83x = 225,925.88
  5. Step 5: Solve for x
    x = 225,925.88/511.83
  6. Step 6: Final answer
    x = 441.41

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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.