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Finding the Fourth Proportional to 511.02, 766.20 and 279.49

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Solution

The fourth proportional to 511.02, 766.20 and 279.49 is: 419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.02 : 766.20 = 279.49 : x
  2. Step 2: Convert to fraction form
    511.02/766.20 = 279.49/x
  3. Step 3: Cross multiply
    511.02x = 766.20 × 279.49
  4. Step 4: Simplify right side
    511.02x = 214,145.24
  5. Step 5: Solve for x
    x = 214,145.24/511.02
  6. Step 6: Final answer
    x = 419.05

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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.