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Finding the Fourth Proportional to 468.63, 702.34 and 194.36

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Solution

The fourth proportional to 468.63, 702.34 and 194.36 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.63 : 702.34 = 194.36 : x
  2. Step 2: Convert to fraction form
    468.63/702.34 = 194.36/x
  3. Step 3: Cross multiply
    468.63x = 702.34 × 194.36
  4. Step 4: Simplify right side
    468.63x = 136,502.80
  5. Step 5: Solve for x
    x = 136,502.80/468.63
  6. Step 6: Final answer
    x = 291.28

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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.