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Finding the Fourth Proportional to 570.10, 786.42 and 422.48

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Solution

The fourth proportional to 570.10, 786.42 and 422.48 is: 582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.10 : 786.42 = 422.48 : x
  2. Step 2: Convert to fraction form
    570.10/786.42 = 422.48/x
  3. Step 3: Cross multiply
    570.10x = 786.42 × 422.48
  4. Step 4: Simplify right side
    570.10x = 332,246.72
  5. Step 5: Solve for x
    x = 332,246.72/570.10
  6. Step 6: Final answer
    x = 582.79

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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.