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Finding the Fourth Proportional to 673.48, 929.41 and 378.85

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Solution

The fourth proportional to 673.48, 929.41 and 378.85 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.48 : 929.41 = 378.85 : x
  2. Step 2: Convert to fraction form
    673.48/929.41 = 378.85/x
  3. Step 3: Cross multiply
    673.48x = 929.41 × 378.85
  4. Step 4: Simplify right side
    673.48x = 352,106.98
  5. Step 5: Solve for x
    x = 352,106.98/673.48
  6. Step 6: Final answer
    x = 522.82

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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.