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Finding the Fourth Proportional to 500.25, 749.28 and 412.60

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Solution

The fourth proportional to 500.25, 749.28 and 412.60 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 749.28 = 412.60 : x
  2. Step 2: Convert to fraction form
    500.25/749.28 = 412.60/x
  3. Step 3: Cross multiply
    500.25x = 749.28 × 412.60
  4. Step 4: Simplify right side
    500.25x = 309,147.12
  5. Step 5: Solve for x
    x = 309,147.12/500.25
  6. Step 6: Final answer
    x = 617.99

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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.