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Finding the Fourth Proportional to 673.97, 929.83 and 497.36

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Solution

The fourth proportional to 673.97, 929.83 and 497.36 is: 686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.97 : 929.83 = 497.36 : x
  2. Step 2: Convert to fraction form
    673.97/929.83 = 497.36/x
  3. Step 3: Cross multiply
    673.97x = 929.83 × 497.36
  4. Step 4: Simplify right side
    673.97x = 462,457.03
  5. Step 5: Solve for x
    x = 462,457.03/673.97
  6. Step 6: Final answer
    x = 686.17

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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.