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Finding the Fourth Proportional to 559.91, 838.33 and 422.55

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Solution

The fourth proportional to 559.91, 838.33 and 422.55 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.91 : 838.33 = 422.55 : x
  2. Step 2: Convert to fraction form
    559.91/838.33 = 422.55/x
  3. Step 3: Cross multiply
    559.91x = 838.33 × 422.55
  4. Step 4: Simplify right side
    559.91x = 354,235.29
  5. Step 5: Solve for x
    x = 354,235.29/559.91
  6. Step 6: Final answer
    x = 632.66

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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.