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Finding the Fourth Proportional to 468.29, 702.57 and 194.39

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Solution

The fourth proportional to 468.29, 702.57 and 194.39 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.29 : 702.57 = 194.39 : x
  2. Step 2: Convert to fraction form
    468.29/702.57 = 194.39/x
  3. Step 3: Cross multiply
    468.29x = 702.57 × 194.39
  4. Step 4: Simplify right side
    468.29x = 136,569.07
  5. Step 5: Solve for x
    x = 136,569.07/468.29
  6. Step 6: Final answer
    x = 291.64

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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.