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Finding the Fourth Proportional to 588.05, 880.69 and 466.38

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Solution

The fourth proportional to 588.05, 880.69 and 466.38 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 880.69 = 466.38 : x
  2. Step 2: Convert to fraction form
    588.05/880.69 = 466.38/x
  3. Step 3: Cross multiply
    588.05x = 880.69 × 466.38
  4. Step 4: Simplify right side
    588.05x = 410,736.20
  5. Step 5: Solve for x
    x = 410,736.20/588.05
  6. Step 6: Final answer
    x = 698.47

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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.