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Finding the Fourth Proportional to 673.82, 929.88 and 437.87

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Solution

The fourth proportional to 673.82, 929.88 and 437.87 is: 604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.82 : 929.88 = 437.87 : x
  2. Step 2: Convert to fraction form
    673.82/929.88 = 437.87/x
  3. Step 3: Cross multiply
    673.82x = 929.88 × 437.87
  4. Step 4: Simplify right side
    673.82x = 407,161.91
  5. Step 5: Solve for x
    x = 407,161.91/673.82
  6. Step 6: Final answer
    x = 604.26

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Why These Related Problems?

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