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Finding the Fourth Proportional to 475.76, 656.20 and 320.24

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Solution

The fourth proportional to 475.76, 656.20 and 320.24 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 656.20 = 320.24 : x
  2. Step 2: Convert to fraction form
    475.76/656.20 = 320.24/x
  3. Step 3: Cross multiply
    475.76x = 656.20 × 320.24
  4. Step 4: Simplify right side
    475.76x = 210,141.49
  5. Step 5: Solve for x
    x = 210,141.49/475.76
  6. Step 6: Final answer
    x = 441.70

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