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Finding the Fourth Proportional to 475.36, 656.18 and 278.88

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Solution

The fourth proportional to 475.36, 656.18 and 278.88 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.36 : 656.18 = 278.88 : x
  2. Step 2: Convert to fraction form
    475.36/656.18 = 278.88/x
  3. Step 3: Cross multiply
    475.36x = 656.18 × 278.88
  4. Step 4: Simplify right side
    475.36x = 182,995.48
  5. Step 5: Solve for x
    x = 182,995.48/475.36
  6. Step 6: Final answer
    x = 384.96

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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.