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Finding the Fourth Proportional to 668.69, 922.64 and 456.06

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Solution

The fourth proportional to 668.69, 922.64 and 456.06 is: 629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.69 : 922.64 = 456.06 : x
  2. Step 2: Convert to fraction form
    668.69/922.64 = 456.06/x
  3. Step 3: Cross multiply
    668.69x = 922.64 × 456.06
  4. Step 4: Simplify right side
    668.69x = 420,776.92
  5. Step 5: Solve for x
    x = 420,776.92/668.69
  6. Step 6: Final answer
    x = 629.26

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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.