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Finding the Fourth Proportional to 673.79, 929.84 and 375.06

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Solution

The fourth proportional to 673.79, 929.84 and 375.06 is: 517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.79 : 929.84 = 375.06 : x
  2. Step 2: Convert to fraction form
    673.79/929.84 = 375.06/x
  3. Step 3: Cross multiply
    673.79x = 929.84 × 375.06
  4. Step 4: Simplify right side
    673.79x = 348,739.27
  5. Step 5: Solve for x
    x = 348,739.27/673.79
  6. Step 6: Final answer
    x = 517.58

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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.