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Finding the Fourth Proportional to 629.16, 942.18 and 455.52

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Solution

The fourth proportional to 629.16, 942.18 and 455.52 is: 682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.16 : 942.18 = 455.52 : x
  2. Step 2: Convert to fraction form
    629.16/942.18 = 455.52/x
  3. Step 3: Cross multiply
    629.16x = 942.18 × 455.52
  4. Step 4: Simplify right side
    629.16x = 429,181.83
  5. Step 5: Solve for x
    x = 429,181.83/629.16
  6. Step 6: Final answer
    x = 682.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.