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Finding the Fourth Proportional to 518.36, 775.92 and 436.64

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Solution

The fourth proportional to 518.36, 775.92 and 436.64 is: 653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.36 : 775.92 = 436.64 : x
  2. Step 2: Convert to fraction form
    518.36/775.92 = 436.64/x
  3. Step 3: Cross multiply
    518.36x = 775.92 × 436.64
  4. Step 4: Simplify right side
    518.36x = 338,797.71
  5. Step 5: Solve for x
    x = 338,797.71/518.36
  6. Step 6: Final answer
    x = 653.60

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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.