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Finding the Fourth Proportional to 673.76, 929.44 and 440.88

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Solution

The fourth proportional to 673.76, 929.44 and 440.88 is: 608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.76 : 929.44 = 440.88 : x
  2. Step 2: Convert to fraction form
    673.76/929.44 = 440.88/x
  3. Step 3: Cross multiply
    673.76x = 929.44 × 440.88
  4. Step 4: Simplify right side
    673.76x = 409,771.51
  5. Step 5: Solve for x
    x = 409,771.51/673.76
  6. Step 6: Final answer
    x = 608.19

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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.