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Finding the Fourth Proportional to 673.31, 929.27 and 411.28

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Solution

The fourth proportional to 673.31, 929.27 and 411.28 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 929.27 = 411.28 : x
  2. Step 2: Convert to fraction form
    673.31/929.27 = 411.28/x
  3. Step 3: Cross multiply
    673.31x = 929.27 × 411.28
  4. Step 4: Simplify right side
    673.31x = 382,188.87
  5. Step 5: Solve for x
    x = 382,188.87/673.31
  6. Step 6: Final answer
    x = 567.62

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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.