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Finding the Fourth Proportional to 551.31, 759.83 and 385.16

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Solution

The fourth proportional to 551.31, 759.83 and 385.16 is: 530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.31 : 759.83 = 385.16 : x
  2. Step 2: Convert to fraction form
    551.31/759.83 = 385.16/x
  3. Step 3: Cross multiply
    551.31x = 759.83 × 385.16
  4. Step 4: Simplify right side
    551.31x = 292,652.56
  5. Step 5: Solve for x
    x = 292,652.56/551.31
  6. Step 6: Final answer
    x = 530.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.