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Finding the Fourth Proportional to 506.25, 698.57 and 282.15

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Solution

The fourth proportional to 506.25, 698.57 and 282.15 is: 389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 698.57 = 282.15 : x
  2. Step 2: Convert to fraction form
    506.25/698.57 = 282.15/x
  3. Step 3: Cross multiply
    506.25x = 698.57 × 282.15
  4. Step 4: Simplify right side
    506.25x = 197,101.17
  5. Step 5: Solve for x
    x = 197,101.17/506.25
  6. Step 6: Final answer
    x = 389.34

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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.