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Finding the Fourth Proportional to 673.34, 929.51 and 449.64

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Solution

The fourth proportional to 673.34, 929.51 and 449.64 is: 620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.34 : 929.51 = 449.64 : x
  2. Step 2: Convert to fraction form
    673.34/929.51 = 449.64/x
  3. Step 3: Cross multiply
    673.34x = 929.51 × 449.64
  4. Step 4: Simplify right side
    673.34x = 417,946.00
  5. Step 5: Solve for x
    x = 417,946.00/673.34
  6. Step 6: Final answer
    x = 620.71

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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.