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Finding the Fourth Proportional to 468.52, 702.86 and 208.61

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Solution

The fourth proportional to 468.52, 702.86 and 208.61 is: 312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 702.86 = 208.61 : x
  2. Step 2: Convert to fraction form
    468.52/702.86 = 208.61/x
  3. Step 3: Cross multiply
    468.52x = 702.86 × 208.61
  4. Step 4: Simplify right side
    468.52x = 146,623.62
  5. Step 5: Solve for x
    x = 146,623.62/468.52
  6. Step 6: Final answer
    x = 312.95

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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.