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Finding the Fourth Proportional to 655.46, 984.59 and 412.16

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Solution

The fourth proportional to 655.46, 984.59 and 412.16 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.46 : 984.59 = 412.16 : x
  2. Step 2: Convert to fraction form
    655.46/984.59 = 412.16/x
  3. Step 3: Cross multiply
    655.46x = 984.59 × 412.16
  4. Step 4: Simplify right side
    655.46x = 405,803.18
  5. Step 5: Solve for x
    x = 405,803.18/655.46
  6. Step 6: Final answer
    x = 619.11

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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.