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Finding the Fourth Proportional to 506, 698.34 and 284.96

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Solution

The fourth proportional to 506, 698.34 and 284.96 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 698.34 = 284.96 : x
  2. Step 2: Convert to fraction form
    506/698.34 = 284.96/x
  3. Step 3: Cross multiply
    506x = 698.34 × 284.96
  4. Step 4: Simplify right side
    506x = 198,998.97
  5. Step 5: Solve for x
    x = 198,998.97/506
  6. Step 6: Final answer
    x = 393.28

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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.