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Finding the Fourth Proportional to 523.80, 787.28 and 351.04

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Solution

The fourth proportional to 523.80, 787.28 and 351.04 is: 527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 787.28 = 351.04 : x
  2. Step 2: Convert to fraction form
    523.80/787.28 = 351.04/x
  3. Step 3: Cross multiply
    523.80x = 787.28 × 351.04
  4. Step 4: Simplify right side
    523.80x = 276,366.77
  5. Step 5: Solve for x
    x = 276,366.77/523.80
  6. Step 6: Final answer
    x = 527.62

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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.