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Finding the Fourth Proportional to 506.88, 759.24 and 384.84

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Solution

The fourth proportional to 506.88, 759.24 and 384.84 is: 576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 759.24 = 384.84 : x
  2. Step 2: Convert to fraction form
    506.88/759.24 = 384.84/x
  3. Step 3: Cross multiply
    506.88x = 759.24 × 384.84
  4. Step 4: Simplify right side
    506.88x = 292,185.92
  5. Step 5: Solve for x
    x = 292,185.92/506.88
  6. Step 6: Final answer
    x = 576.44

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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.