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Finding the Fourth Proportional to 468.92, 702.49 and 208.64

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Solution

The fourth proportional to 468.92, 702.49 and 208.64 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 702.49 = 208.64 : x
  2. Step 2: Convert to fraction form
    468.92/702.49 = 208.64/x
  3. Step 3: Cross multiply
    468.92x = 702.49 × 208.64
  4. Step 4: Simplify right side
    468.92x = 146,567.51
  5. Step 5: Solve for x
    x = 146,567.51/468.92
  6. Step 6: Final answer
    x = 312.56

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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.