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Finding the Fourth Proportional to 673.44, 929.42 and 378.69

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Solution

The fourth proportional to 673.44, 929.42 and 378.69 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 929.42 = 378.69 : x
  2. Step 2: Convert to fraction form
    673.44/929.42 = 378.69/x
  3. Step 3: Cross multiply
    673.44x = 929.42 × 378.69
  4. Step 4: Simplify right side
    673.44x = 351,955.52
  5. Step 5: Solve for x
    x = 351,955.52/673.44
  6. Step 6: Final answer
    x = 522.63

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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.