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Finding the Fourth Proportional to 673.50, 929.41 and 378.75

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Solution

The fourth proportional to 673.50, 929.41 and 378.75 is: 522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.50 : 929.41 = 378.75 : x
  2. Step 2: Convert to fraction form
    673.50/929.41 = 378.75/x
  3. Step 3: Cross multiply
    673.50x = 929.41 × 378.75
  4. Step 4: Simplify right side
    673.50x = 352,014.04
  5. Step 5: Solve for x
    x = 352,014.04/673.50
  6. Step 6: Final answer
    x = 522.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.