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Finding the Fourth Proportional to 655.32, 983.58 and 411.12

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Solution

The fourth proportional to 655.32, 983.58 and 411.12 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 983.58 = 411.12 : x
  2. Step 2: Convert to fraction form
    655.32/983.58 = 411.12/x
  3. Step 3: Cross multiply
    655.32x = 983.58 × 411.12
  4. Step 4: Simplify right side
    655.32x = 404,369.41
  5. Step 5: Solve for x
    x = 404,369.41/655.32
  6. Step 6: Final answer
    x = 617.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.