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Finding the Fourth Proportional to 468.28, 702.44 and 194.40

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Solution

The fourth proportional to 468.28, 702.44 and 194.40 is: 291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 702.44 = 194.40 : x
  2. Step 2: Convert to fraction form
    468.28/702.44 = 194.40/x
  3. Step 3: Cross multiply
    468.28x = 702.44 × 194.40
  4. Step 4: Simplify right side
    468.28x = 136,554.09
  5. Step 5: Solve for x
    x = 136,554.09/468.28
  6. Step 6: Final answer
    x = 291.61

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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.