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Finding the Fourth Proportional to 506.12, 698.46 and 282.06

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Solution

The fourth proportional to 506.12, 698.46 and 282.06 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 698.46 = 282.06 : x
  2. Step 2: Convert to fraction form
    506.12/698.46 = 282.06/x
  3. Step 3: Cross multiply
    506.12x = 698.46 × 282.06
  4. Step 4: Simplify right side
    506.12x = 197,007.63
  5. Step 5: Solve for x
    x = 197,007.63/506.12
  6. Step 6: Final answer
    x = 389.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.