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Finding the Fourth Proportional to 673.71, 930.30 and 463.83

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Solution

The fourth proportional to 673.71, 930.30 and 463.83 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.71 : 930.30 = 463.83 : x
  2. Step 2: Convert to fraction form
    673.71/930.30 = 463.83/x
  3. Step 3: Cross multiply
    673.71x = 930.30 × 463.83
  4. Step 4: Simplify right side
    673.71x = 431,501.05
  5. Step 5: Solve for x
    x = 431,501.05/673.71
  6. Step 6: Final answer
    x = 640.48

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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.