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Finding the Fourth Proportional to 506.12, 759.29 and 209.64

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Solution

The fourth proportional to 506.12, 759.29 and 209.64 is: 314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 759.29 = 209.64 : x
  2. Step 2: Convert to fraction form
    506.12/759.29 = 209.64/x
  3. Step 3: Cross multiply
    506.12x = 759.29 × 209.64
  4. Step 4: Simplify right side
    506.12x = 159,176.51
  5. Step 5: Solve for x
    x = 159,176.51/506.12
  6. Step 6: Final answer
    x = 314.51

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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.