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Finding the Fourth Proportional to 511.16, 766.74 and 294.75

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Solution

The fourth proportional to 511.16, 766.74 and 294.75 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 766.74 = 294.75 : x
  2. Step 2: Convert to fraction form
    511.16/766.74 = 294.75/x
  3. Step 3: Cross multiply
    511.16x = 766.74 × 294.75
  4. Step 4: Simplify right side
    511.16x = 225,996.62
  5. Step 5: Solve for x
    x = 225,996.62/511.16
  6. Step 6: Final answer
    x = 442.13

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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.