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Finding the Fourth Proportional to 673.59, 929.30 and 496.97

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Solution

The fourth proportional to 673.59, 929.30 and 496.97 is: 685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.59 : 929.30 = 496.97 : x
  2. Step 2: Convert to fraction form
    673.59/929.30 = 496.97/x
  3. Step 3: Cross multiply
    673.59x = 929.30 × 496.97
  4. Step 4: Simplify right side
    673.59x = 461,838.60
  5. Step 5: Solve for x
    x = 461,838.60/673.59
  6. Step 6: Final answer
    x = 685.64

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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.