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Finding the Fourth Proportional to 511.80, 706.77 and 418.65

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Solution

The fourth proportional to 511.80, 706.77 and 418.65 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 706.77 = 418.65 : x
  2. Step 2: Convert to fraction form
    511.80/706.77 = 418.65/x
  3. Step 3: Cross multiply
    511.80x = 706.77 × 418.65
  4. Step 4: Simplify right side
    511.80x = 295,889.26
  5. Step 5: Solve for x
    x = 295,889.26/511.80
  6. Step 6: Final answer
    x = 578.13

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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.