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Finding the Fourth Proportional to 475.92, 656.84 and 301.28

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Solution

The fourth proportional to 475.92, 656.84 and 301.28 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 656.84 = 301.28 : x
  2. Step 2: Convert to fraction form
    475.92/656.84 = 301.28/x
  3. Step 3: Cross multiply
    475.92x = 656.84 × 301.28
  4. Step 4: Simplify right side
    475.92x = 197,892.76
  5. Step 5: Solve for x
    x = 197,892.76/475.92
  6. Step 6: Final answer
    x = 415.81

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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.