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Finding the Fourth Proportional to 673.20, 929.08 and 411.28

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Solution

The fourth proportional to 673.20, 929.08 and 411.28 is: 567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 929.08 = 411.28 : x
  2. Step 2: Convert to fraction form
    673.20/929.08 = 411.28/x
  3. Step 3: Cross multiply
    673.20x = 929.08 × 411.28
  4. Step 4: Simplify right side
    673.20x = 382,112.02
  5. Step 5: Solve for x
    x = 382,112.02/673.20
  6. Step 6: Final answer
    x = 567.61

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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.