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Finding the Fourth Proportional to 673.43, 929.04 and 411.60

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Solution

The fourth proportional to 673.43, 929.04 and 411.60 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.43 : 929.04 = 411.60 : x
  2. Step 2: Convert to fraction form
    673.43/929.04 = 411.60/x
  3. Step 3: Cross multiply
    673.43x = 929.04 × 411.60
  4. Step 4: Simplify right side
    673.43x = 382,392.86
  5. Step 5: Solve for x
    x = 382,392.86/673.43
  6. Step 6: Final answer
    x = 567.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.