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Finding the Fourth Proportional to 506.01, 698.31 and 284.98

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Solution

The fourth proportional to 506.01, 698.31 and 284.98 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.01 : 698.31 = 284.98 : x
  2. Step 2: Convert to fraction form
    506.01/698.31 = 284.98/x
  3. Step 3: Cross multiply
    506.01x = 698.31 × 284.98
  4. Step 4: Simplify right side
    506.01x = 199,002.64
  5. Step 5: Solve for x
    x = 199,002.64/506.01
  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.