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Finding the Fourth Proportional to 668.91, 1,003.68 and 322.41

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Solution

The fourth proportional to 668.91, 1,003.68 and 322.41 is: 483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.91 : 1,003.68 = 322.41 : x
  2. Step 2: Convert to fraction form
    668.91/1,003.68 = 322.41/x
  3. Step 3: Cross multiply
    668.91x = 1,003.68 × 322.41
  4. Step 4: Simplify right side
    668.91x = 323,596.47
  5. Step 5: Solve for x
    x = 323,596.47/668.91
  6. Step 6: Final answer
    x = 483.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.