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Finding the Fourth Proportional to 475.72, 656.20 and 301.04

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Solution

The fourth proportional to 475.72, 656.20 and 301.04 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 656.20 = 301.04 : x
  2. Step 2: Convert to fraction form
    475.72/656.20 = 301.04/x
  3. Step 3: Cross multiply
    475.72x = 656.20 × 301.04
  4. Step 4: Simplify right side
    475.72x = 197,542.45
  5. Step 5: Solve for x
    x = 197,542.45/475.72
  6. Step 6: Final answer
    x = 415.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.