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Finding the Fourth Proportional to 559.26, 837.41 and 460.71

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Solution

The fourth proportional to 559.26, 837.41 and 460.71 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.26 : 837.41 = 460.71 : x
  2. Step 2: Convert to fraction form
    559.26/837.41 = 460.71/x
  3. Step 3: Cross multiply
    559.26x = 837.41 × 460.71
  4. Step 4: Simplify right side
    559.26x = 385,800.86
  5. Step 5: Solve for x
    x = 385,800.86/559.26
  6. Step 6: Final answer
    x = 689.84

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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.