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Finding the Fourth Proportional to 506.88, 699.44 and 285.84

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Solution

The fourth proportional to 506.88, 699.44 and 285.84 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 699.44 = 285.84 : x
  2. Step 2: Convert to fraction form
    506.88/699.44 = 285.84/x
  3. Step 3: Cross multiply
    506.88x = 699.44 × 285.84
  4. Step 4: Simplify right side
    506.88x = 199,926.50
  5. Step 5: Solve for x
    x = 199,926.50/506.88
  6. Step 6: Final answer
    x = 394.43

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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.