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Finding the Fourth Proportional to 673.70, 929.67 and 394.04

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Solution

The fourth proportional to 673.70, 929.67 and 394.04 is: 543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.70 : 929.67 = 394.04 : x
  2. Step 2: Convert to fraction form
    673.70/929.67 = 394.04/x
  3. Step 3: Cross multiply
    673.70x = 929.67 × 394.04
  4. Step 4: Simplify right side
    673.70x = 366,327.17
  5. Step 5: Solve for x
    x = 366,327.17/673.70
  6. Step 6: Final answer
    x = 543.75

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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.