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Finding the Fourth Proportional to 673.24, 929.06 and 378.44

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Solution

The fourth proportional to 673.24, 929.06 and 378.44 is: 522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.24 : 929.06 = 378.44 : x
  2. Step 2: Convert to fraction form
    673.24/929.06 = 378.44/x
  3. Step 3: Cross multiply
    673.24x = 929.06 × 378.44
  4. Step 4: Simplify right side
    673.24x = 351,593.47
  5. Step 5: Solve for x
    x = 351,593.47/673.24
  6. Step 6: Final answer
    x = 522.24

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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.