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Finding the Fourth Proportional to 655.32, 983.88 and 412.32

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Solution

The fourth proportional to 655.32, 983.88 and 412.32 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 983.88 = 412.32 : x
  2. Step 2: Convert to fraction form
    655.32/983.88 = 412.32/x
  3. Step 3: Cross multiply
    655.32x = 983.88 × 412.32
  4. Step 4: Simplify right side
    655.32x = 405,673.40
  5. Step 5: Solve for x
    x = 405,673.40/655.32
  6. Step 6: Final answer
    x = 619.05

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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.