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Finding the Fourth Proportional to 506.29, 759.66 and 232.63

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Solution

The fourth proportional to 506.29, 759.66 and 232.63 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 759.66 = 232.63 : x
  2. Step 2: Convert to fraction form
    506.29/759.66 = 232.63/x
  3. Step 3: Cross multiply
    506.29x = 759.66 × 232.63
  4. Step 4: Simplify right side
    506.29x = 176,719.71
  5. Step 5: Solve for x
    x = 176,719.71/506.29
  6. Step 6: Final answer
    x = 349.05

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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.