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Finding the Fourth Proportional to 673.40, 929.13 and 516.19

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Solution

The fourth proportional to 673.40, 929.13 and 516.19 is: 712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.40 : 929.13 = 516.19 : x
  2. Step 2: Convert to fraction form
    673.40/929.13 = 516.19/x
  3. Step 3: Cross multiply
    673.40x = 929.13 × 516.19
  4. Step 4: Simplify right side
    673.40x = 479,607.61
  5. Step 5: Solve for x
    x = 479,607.61/673.40
  6. Step 6: Final answer
    x = 712.22

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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.