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Finding the Fourth Proportional to 629.97, 940.35 and 584.24

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Solution

The fourth proportional to 629.97, 940.35 and 584.24 is: 872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.97 : 940.35 = 584.24 : x
  2. Step 2: Convert to fraction form
    629.97/940.35 = 584.24/x
  3. Step 3: Cross multiply
    629.97x = 940.35 × 584.24
  4. Step 4: Simplify right side
    629.97x = 549,390.08
  5. Step 5: Solve for x
    x = 549,390.08/629.97
  6. Step 6: Final answer
    x = 872.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.