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Finding the Fourth Proportional to 673.46, 929.37 and 378.72

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Solution

The fourth proportional to 673.46, 929.37 and 378.72 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.46 : 929.37 = 378.72 : x
  2. Step 2: Convert to fraction form
    673.46/929.37 = 378.72/x
  3. Step 3: Cross multiply
    673.46x = 929.37 × 378.72
  4. Step 4: Simplify right side
    673.46x = 351,971.01
  5. Step 5: Solve for x
    x = 351,971.01/673.46
  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.