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Finding the Fourth Proportional to 436.08, 652.49 and 412.64

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Solution

The fourth proportional to 436.08, 652.49 and 412.64 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.08 : 652.49 = 412.64 : x
  2. Step 2: Convert to fraction form
    436.08/652.49 = 412.64/x
  3. Step 3: Cross multiply
    436.08x = 652.49 × 412.64
  4. Step 4: Simplify right side
    436.08x = 269,238.15
  5. Step 5: Solve for x
    x = 269,238.15/436.08
  6. Step 6: Final answer
    x = 617.41

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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.