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Finding the Fourth Proportional to 673.92, 929.58 and 441.06

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Solution

The fourth proportional to 673.92, 929.58 and 441.06 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.92 : 929.58 = 441.06 : x
  2. Step 2: Convert to fraction form
    673.92/929.58 = 441.06/x
  3. Step 3: Cross multiply
    673.92x = 929.58 × 441.06
  4. Step 4: Simplify right side
    673.92x = 410,000.55
  5. Step 5: Solve for x
    x = 410,000.55/673.92
  6. Step 6: Final answer
    x = 608.38

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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.