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Finding the Fourth Proportional to 588.06, 880.41 and 466.50

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Solution

The fourth proportional to 588.06, 880.41 and 466.50 is: 698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 880.41 = 466.50 : x
  2. Step 2: Convert to fraction form
    588.06/880.41 = 466.50/x
  3. Step 3: Cross multiply
    588.06x = 880.41 × 466.50
  4. Step 4: Simplify right side
    588.06x = 410,711.27
  5. Step 5: Solve for x
    x = 410,711.27/588.06
  6. Step 6: Final answer
    x = 698.42

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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.