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Finding the Fourth Proportional to 511.17, 704.39 and 355.65

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Solution

The fourth proportional to 511.17, 704.39 and 355.65 is: 490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.17 : 704.39 = 355.65 : x
  2. Step 2: Convert to fraction form
    511.17/704.39 = 355.65/x
  3. Step 3: Cross multiply
    511.17x = 704.39 × 355.65
  4. Step 4: Simplify right side
    511.17x = 250,516.30
  5. Step 5: Solve for x
    x = 250,516.30/511.17
  6. Step 6: Final answer
    x = 490.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.