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Finding the Fourth Proportional to 468.40, 702.63 and 194.49

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Solution

The fourth proportional to 468.40, 702.63 and 194.49 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.40 : 702.63 = 194.49 : x
  2. Step 2: Convert to fraction form
    468.40/702.63 = 194.49/x
  3. Step 3: Cross multiply
    468.40x = 702.63 × 194.49
  4. Step 4: Simplify right side
    468.40x = 136,654.51
  5. Step 5: Solve for x
    x = 136,654.51/468.40
  6. Step 6: Final answer
    x = 291.75

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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.