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Finding the Fourth Proportional to 476.44, 708.97 and 474.82

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Solution

The fourth proportional to 476.44, 708.97 and 474.82 is: 706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.44 : 708.97 = 474.82 : x
  2. Step 2: Convert to fraction form
    476.44/708.97 = 474.82/x
  3. Step 3: Cross multiply
    476.44x = 708.97 × 474.82
  4. Step 4: Simplify right side
    476.44x = 336,633.14
  5. Step 5: Solve for x
    x = 336,633.14/476.44
  6. Step 6: Final answer
    x = 706.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.