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Finding the Fourth Proportional to 511.31, 767.07 and 294.84

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Solution

The fourth proportional to 511.31, 767.07 and 294.84 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 767.07 = 294.84 : x
  2. Step 2: Convert to fraction form
    511.31/767.07 = 294.84/x
  3. Step 3: Cross multiply
    511.31x = 767.07 × 294.84
  4. Step 4: Simplify right side
    511.31x = 226,162.92
  5. Step 5: Solve for x
    x = 226,162.92/511.31
  6. Step 6: Final answer
    x = 442.32

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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.