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Finding the Fourth Proportional to 468.28, 702.42 and 194.38

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Solution

The fourth proportional to 468.28, 702.42 and 194.38 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 702.42 = 194.38 : x
  2. Step 2: Convert to fraction form
    468.28/702.42 = 194.38/x
  3. Step 3: Cross multiply
    468.28x = 702.42 × 194.38
  4. Step 4: Simplify right side
    468.28x = 136,536.40
  5. Step 5: Solve for x
    x = 136,536.40/468.28
  6. Step 6: Final answer
    x = 291.57

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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.