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Finding the Fourth Proportional to 473.56, 708.27 and 278.09

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Solution

The fourth proportional to 473.56, 708.27 and 278.09 is: 415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 708.27 = 278.09 : x
  2. Step 2: Convert to fraction form
    473.56/708.27 = 278.09/x
  3. Step 3: Cross multiply
    473.56x = 708.27 × 278.09
  4. Step 4: Simplify right side
    473.56x = 196,962.80
  5. Step 5: Solve for x
    x = 196,962.80/473.56
  6. Step 6: Final answer
    x = 415.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.