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Finding the Fourth Proportional to 673.83, 929.91 and 411.80

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Solution

The fourth proportional to 673.83, 929.91 and 411.80 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.83 : 929.91 = 411.80 : x
  2. Step 2: Convert to fraction form
    673.83/929.91 = 411.80/x
  3. Step 3: Cross multiply
    673.83x = 929.91 × 411.80
  4. Step 4: Simplify right side
    673.83x = 382,933.83
  5. Step 5: Solve for x
    x = 382,933.83/673.83
  6. Step 6: Final answer
    x = 568.29

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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.