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Finding the Fourth Proportional to 475.80, 656.40 and 289.20

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Solution

The fourth proportional to 475.80, 656.40 and 289.20 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 656.40 = 289.20 : x
  2. Step 2: Convert to fraction form
    475.80/656.40 = 289.20/x
  3. Step 3: Cross multiply
    475.80x = 656.40 × 289.20
  4. Step 4: Simplify right side
    475.80x = 189,830.88
  5. Step 5: Solve for x
    x = 189,830.88/475.80
  6. Step 6: Final answer
    x = 398.97

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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.