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Finding the Fourth Proportional to 506.34, 758.82 and 245.98

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Solution

The fourth proportional to 506.34, 758.82 and 245.98 is: 368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.34 : 758.82 = 245.98 : x
  2. Step 2: Convert to fraction form
    506.34/758.82 = 245.98/x
  3. Step 3: Cross multiply
    506.34x = 758.82 × 245.98
  4. Step 4: Simplify right side
    506.34x = 186,654.54
  5. Step 5: Solve for x
    x = 186,654.54/506.34
  6. Step 6: Final answer
    x = 368.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.