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Finding the Fourth Proportional to 570.15, 855.23 and 281.61

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Solution

The fourth proportional to 570.15, 855.23 and 281.61 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.15 : 855.23 = 281.61 : x
  2. Step 2: Convert to fraction form
    570.15/855.23 = 281.61/x
  3. Step 3: Cross multiply
    570.15x = 855.23 × 281.61
  4. Step 4: Simplify right side
    570.15x = 240,839.91
  5. Step 5: Solve for x
    x = 240,839.91/570.15
  6. Step 6: Final answer
    x = 422.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.