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Finding the Fourth Proportional to 570.41, 855.23 and 460.86

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Solution

The fourth proportional to 570.41, 855.23 and 460.86 is: 690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.41 : 855.23 = 460.86 : x
  2. Step 2: Convert to fraction form
    570.41/855.23 = 460.86/x
  3. Step 3: Cross multiply
    570.41x = 855.23 × 460.86
  4. Step 4: Simplify right side
    570.41x = 394,142.45
  5. Step 5: Solve for x
    x = 394,142.45/570.41
  6. Step 6: Final answer
    x = 690.98

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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.