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Finding the Fourth Proportional to 468.57, 702.35 and 194.37

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Solution

The fourth proportional to 468.57, 702.35 and 194.37 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.57 : 702.35 = 194.37 : x
  2. Step 2: Convert to fraction form
    468.57/702.35 = 194.37/x
  3. Step 3: Cross multiply
    468.57x = 702.35 × 194.37
  4. Step 4: Simplify right side
    468.57x = 136,514.80
  5. Step 5: Solve for x
    x = 136,514.80/468.57
  6. Step 6: Final answer
    x = 291.34

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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.