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Finding the Fourth Proportional to 673.49, 929.42 and 393.66

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Solution

The fourth proportional to 673.49, 929.42 and 393.66 is: 543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.49 : 929.42 = 393.66 : x
  2. Step 2: Convert to fraction form
    673.49/929.42 = 393.66/x
  3. Step 3: Cross multiply
    673.49x = 929.42 × 393.66
  4. Step 4: Simplify right side
    673.49x = 365,877.20
  5. Step 5: Solve for x
    x = 365,877.20/673.49
  6. Step 6: Final answer
    x = 543.26

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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.