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Finding the Fourth Proportional to 473.27, 709.61 and 184.64

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Solution

The fourth proportional to 473.27, 709.61 and 184.64 is: 276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.27 : 709.61 = 184.64 : x
  2. Step 2: Convert to fraction form
    473.27/709.61 = 184.64/x
  3. Step 3: Cross multiply
    473.27x = 709.61 × 184.64
  4. Step 4: Simplify right side
    473.27x = 131,017.92
  5. Step 5: Solve for x
    x = 131,017.92/473.27
  6. Step 6: Final answer
    x = 276.84

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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.