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Finding the Fourth Proportional to 570.59, 787.21 and 374.21

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Solution

The fourth proportional to 570.59, 787.21 and 374.21 is: 516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.59 : 787.21 = 374.21 : x
  2. Step 2: Convert to fraction form
    570.59/787.21 = 374.21/x
  3. Step 3: Cross multiply
    570.59x = 787.21 × 374.21
  4. Step 4: Simplify right side
    570.59x = 294,581.85
  5. Step 5: Solve for x
    x = 294,581.85/570.59
  6. Step 6: Final answer
    x = 516.28

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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.