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Finding the Fourth Proportional to 673.83, 929.91 and 375.09

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Solution

The fourth proportional to 673.83, 929.91 and 375.09 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.83 : 929.91 = 375.09 : x
  2. Step 2: Convert to fraction form
    673.83/929.91 = 375.09/x
  3. Step 3: Cross multiply
    673.83x = 929.91 × 375.09
  4. Step 4: Simplify right side
    673.83x = 348,799.94
  5. Step 5: Solve for x
    x = 348,799.94/673.83
  6. Step 6: Final answer
    x = 517.64

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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.