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Finding the Fourth Proportional to 576.89, 794.67 and 419.06

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Solution

The fourth proportional to 576.89, 794.67 and 419.06 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.89 : 794.67 = 419.06 : x
  2. Step 2: Convert to fraction form
    576.89/794.67 = 419.06/x
  3. Step 3: Cross multiply
    576.89x = 794.67 × 419.06
  4. Step 4: Simplify right side
    576.89x = 333,010.44
  5. Step 5: Solve for x
    x = 333,010.44/576.89
  6. Step 6: Final answer
    x = 577.26

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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.