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Finding the Fourth Proportional to 475.97, 656.91 and 438.91

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Solution

The fourth proportional to 475.97, 656.91 and 438.91 is: 605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 656.91 = 438.91 : x
  2. Step 2: Convert to fraction form
    475.97/656.91 = 438.91/x
  3. Step 3: Cross multiply
    475.97x = 656.91 × 438.91
  4. Step 4: Simplify right side
    475.97x = 288,322.73
  5. Step 5: Solve for x
    x = 288,322.73/475.97
  6. Step 6: Final answer
    x = 605.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.