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Finding the Fourth Proportional to 673.30, 928.85 and 411.27

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Solution

The fourth proportional to 673.30, 928.85 and 411.27 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.30 : 928.85 = 411.27 : x
  2. Step 2: Convert to fraction form
    673.30/928.85 = 411.27/x
  3. Step 3: Cross multiply
    673.30x = 928.85 × 411.27
  4. Step 4: Simplify right side
    673.30x = 382,008.14
  5. Step 5: Solve for x
    x = 382,008.14/673.30
  6. Step 6: Final answer
    x = 567.37

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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.