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Finding the Fourth Proportional to 475.05, 713.49 and 421.41

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Solution

The fourth proportional to 475.05, 713.49 and 421.41 is: 632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.05 : 713.49 = 421.41 : x
  2. Step 2: Convert to fraction form
    475.05/713.49 = 421.41/x
  3. Step 3: Cross multiply
    475.05x = 713.49 × 421.41
  4. Step 4: Simplify right side
    475.05x = 300,671.82
  5. Step 5: Solve for x
    x = 300,671.82/475.05
  6. Step 6: Final answer
    x = 632.93

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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.