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Finding the Fourth Proportional to 673.41, 928.90 and 410.97

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Solution

The fourth proportional to 673.41, 928.90 and 410.97 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.41 : 928.90 = 410.97 : x
  2. Step 2: Convert to fraction form
    673.41/928.90 = 410.97/x
  3. Step 3: Cross multiply
    673.41x = 928.90 × 410.97
  4. Step 4: Simplify right side
    673.41x = 381,750.03
  5. Step 5: Solve for x
    x = 381,750.03/673.41
  6. Step 6: Final answer
    x = 566.89

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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.