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Finding the Fourth Proportional to 673.87, 1,009.59 and 349.47

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Solution

The fourth proportional to 673.87, 1,009.59 and 349.47 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.87 : 1,009.59 = 349.47 : x
  2. Step 2: Convert to fraction form
    673.87/1,009.59 = 349.47/x
  3. Step 3: Cross multiply
    673.87x = 1,009.59 × 349.47
  4. Step 4: Simplify right side
    673.87x = 352,814.62
  5. Step 5: Solve for x
    x = 352,814.62/673.87
  6. Step 6: Final answer
    x = 523.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.