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Finding the Fourth Proportional to 570.62, 787.09 and 374.14

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Solution

The fourth proportional to 570.62, 787.09 and 374.14 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.62 : 787.09 = 374.14 : x
  2. Step 2: Convert to fraction form
    570.62/787.09 = 374.14/x
  3. Step 3: Cross multiply
    570.62x = 787.09 × 374.14
  4. Step 4: Simplify right side
    570.62x = 294,481.85
  5. Step 5: Solve for x
    x = 294,481.85/570.62
  6. Step 6: Final answer
    x = 516.07

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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.