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Finding the Fourth Proportional to 474.64, 712.04 and 182.08

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Solution

The fourth proportional to 474.64, 712.04 and 182.08 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.64 : 712.04 = 182.08 : x
  2. Step 2: Convert to fraction form
    474.64/712.04 = 182.08/x
  3. Step 3: Cross multiply
    474.64x = 712.04 × 182.08
  4. Step 4: Simplify right side
    474.64x = 129,648.24
  5. Step 5: Solve for x
    x = 129,648.24/474.64
  6. Step 6: Final answer
    x = 273.15

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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.