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Finding the Fourth Proportional to 673.91, 929.70 and 464.36

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Solution

The fourth proportional to 673.91, 929.70 and 464.36 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.91 : 929.70 = 464.36 : x
  2. Step 2: Convert to fraction form
    673.91/929.70 = 464.36/x
  3. Step 3: Cross multiply
    673.91x = 929.70 × 464.36
  4. Step 4: Simplify right side
    673.91x = 431,715.49
  5. Step 5: Solve for x
    x = 431,715.49/673.91
  6. Step 6: Final answer
    x = 640.61

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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.