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Finding the Fourth Proportional to 412.46, 618.06 and 282.00

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Solution

The fourth proportional to 412.46, 618.06 and 282.00 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 618.06 = 282.00 : x
  2. Step 2: Convert to fraction form
    412.46/618.06 = 282.00/x
  3. Step 3: Cross multiply
    412.46x = 618.06 × 282.00
  4. Step 4: Simplify right side
    412.46x = 174,292.82
  5. Step 5: Solve for x
    x = 174,292.82/412.46
  6. Step 6: Final answer
    x = 422.57

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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.