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Finding the Fourth Proportional to 673.84, 929.93 and 379.18

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Solution

The fourth proportional to 673.84, 929.93 and 379.18 is: 523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.84 : 929.93 = 379.18 : x
  2. Step 2: Convert to fraction form
    673.84/929.93 = 379.18/x
  3. Step 3: Cross multiply
    673.84x = 929.93 × 379.18
  4. Step 4: Simplify right side
    673.84x = 352,610.86
  5. Step 5: Solve for x
    x = 352,610.86/673.84
  6. Step 6: Final answer
    x = 523.29

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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.