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Finding the Fourth Proportional to 673.53, 928.47 and 463.38

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Solution

The fourth proportional to 673.53, 928.47 and 463.38 is: 638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.53 : 928.47 = 463.38 : x
  2. Step 2: Convert to fraction form
    673.53/928.47 = 463.38/x
  3. Step 3: Cross multiply
    673.53x = 928.47 × 463.38
  4. Step 4: Simplify right side
    673.53x = 430,234.43
  5. Step 5: Solve for x
    x = 430,234.43/673.53
  6. Step 6: Final answer
    x = 638.78

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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.