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Finding the Fourth Proportional to 418.14, 629.28 and 345.60

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Solution

The fourth proportional to 418.14, 629.28 and 345.60 is: 520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 629.28 = 345.60 : x
  2. Step 2: Convert to fraction form
    418.14/629.28 = 345.60/x
  3. Step 3: Cross multiply
    418.14x = 629.28 × 345.60
  4. Step 4: Simplify right side
    418.14x = 217,479.17
  5. Step 5: Solve for x
    x = 217,479.17/418.14
  6. Step 6: Final answer
    x = 520.11

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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.