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Finding the Fourth Proportional to 673.42, 929.81 and 437.71

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Solution

The fourth proportional to 673.42, 929.81 and 437.71 is: 604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.42 : 929.81 = 437.71 : x
  2. Step 2: Convert to fraction form
    673.42/929.81 = 437.71/x
  3. Step 3: Cross multiply
    673.42x = 929.81 × 437.71
  4. Step 4: Simplify right side
    673.42x = 406,987.14
  5. Step 5: Solve for x
    x = 406,987.14/673.42
  6. Step 6: Final answer
    x = 604.36

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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.