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Finding the Fourth Proportional to 473.56, 708.28 and 278.09

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Solution

The fourth proportional to 473.56, 708.28 and 278.09 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 708.28 = 278.09 : x
  2. Step 2: Convert to fraction form
    473.56/708.28 = 278.09/x
  3. Step 3: Cross multiply
    473.56x = 708.28 × 278.09
  4. Step 4: Simplify right side
    473.56x = 196,964.19
  5. Step 5: Solve for x
    x = 196,964.19/473.56
  6. Step 6: Final answer
    x = 415.93

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Why These Related Problems?

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