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Finding the Fourth Proportional to 708.22, 976.90 and 456.04

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Solution

The fourth proportional to 708.22, 976.90 and 456.04 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 976.90 = 456.04 : x
  2. Step 2: Convert to fraction form
    708.22/976.90 = 456.04/x
  3. Step 3: Cross multiply
    708.22x = 976.90 × 456.04
  4. Step 4: Simplify right side
    708.22x = 445,505.48
  5. Step 5: Solve for x
    x = 445,505.48/708.22
  6. Step 6: Final answer
    x = 629.05

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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.