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Finding the Fourth Proportional to 629.12, 942.06 and 538.40

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Solution

The fourth proportional to 629.12, 942.06 and 538.40 is: 806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.12 : 942.06 = 538.40 : x
  2. Step 2: Convert to fraction form
    629.12/942.06 = 538.40/x
  3. Step 3: Cross multiply
    629.12x = 942.06 × 538.40
  4. Step 4: Simplify right side
    629.12x = 507,205.10
  5. Step 5: Solve for x
    x = 507,205.10/629.12
  6. Step 6: Final answer
    x = 806.21

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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.