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Finding the Fourth Proportional to 467.86, 702.11 and 352.39

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Solution

The fourth proportional to 467.86, 702.11 and 352.39 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.86 : 702.11 = 352.39 : x
  2. Step 2: Convert to fraction form
    467.86/702.11 = 352.39/x
  3. Step 3: Cross multiply
    467.86x = 702.11 × 352.39
  4. Step 4: Simplify right side
    467.86x = 247,414.78
  5. Step 5: Solve for x
    x = 247,414.78/467.86
  6. Step 6: Final answer
    x = 528.82

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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.