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Finding the Fourth Proportional to 506.77, 759.47 and 232.58

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Solution

The fourth proportional to 506.77, 759.47 and 232.58 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.77 : 759.47 = 232.58 : x
  2. Step 2: Convert to fraction form
    506.77/759.47 = 232.58/x
  3. Step 3: Cross multiply
    506.77x = 759.47 × 232.58
  4. Step 4: Simplify right side
    506.77x = 176,637.53
  5. Step 5: Solve for x
    x = 176,637.53/506.77
  6. Step 6: Final answer
    x = 348.56

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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.