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Finding the Fourth Proportional to 673.21, 929.10 and 378.55

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Solution

The fourth proportional to 673.21, 929.10 and 378.55 is: 522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.21 : 929.10 = 378.55 : x
  2. Step 2: Convert to fraction form
    673.21/929.10 = 378.55/x
  3. Step 3: Cross multiply
    673.21x = 929.10 × 378.55
  4. Step 4: Simplify right side
    673.21x = 351,710.81
  5. Step 5: Solve for x
    x = 351,710.81/673.21
  6. Step 6: Final answer
    x = 522.44

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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.