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Finding the Fourth Proportional to 629.57, 949.19 and 587.22

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Solution

The fourth proportional to 629.57, 949.19 and 587.22 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.57 : 949.19 = 587.22 : x
  2. Step 2: Convert to fraction form
    629.57/949.19 = 587.22/x
  3. Step 3: Cross multiply
    629.57x = 949.19 × 587.22
  4. Step 4: Simplify right side
    629.57x = 557,385.72
  5. Step 5: Solve for x
    x = 557,385.72/629.57
  6. Step 6: Final answer
    x = 885.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.