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Finding the Fourth Proportional to 570.04, 786.31 and 422.82

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Solution

The fourth proportional to 570.04, 786.31 and 422.82 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.04 : 786.31 = 422.82 : x
  2. Step 2: Convert to fraction form
    570.04/786.31 = 422.82/x
  3. Step 3: Cross multiply
    570.04x = 786.31 × 422.82
  4. Step 4: Simplify right side
    570.04x = 332,466.54
  5. Step 5: Solve for x
    x = 332,466.54/570.04
  6. Step 6: Final answer
    x = 583.24

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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.