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Finding the Fourth Proportional to 559.31, 838.22 and 421.74

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Solution

The fourth proportional to 559.31, 838.22 and 421.74 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 838.22 = 421.74 : x
  2. Step 2: Convert to fraction form
    559.31/838.22 = 421.74/x
  3. Step 3: Cross multiply
    559.31x = 838.22 × 421.74
  4. Step 4: Simplify right side
    559.31x = 353,508.79
  5. Step 5: Solve for x
    x = 353,508.79/559.31
  6. Step 6: Final answer
    x = 632.05

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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.