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Finding the Fourth Proportional to 468.65, 702.68 and 208.64

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Solution

The fourth proportional to 468.65, 702.68 and 208.64 is: 312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.65 : 702.68 = 208.64 : x
  2. Step 2: Convert to fraction form
    468.65/702.68 = 208.64/x
  3. Step 3: Cross multiply
    468.65x = 702.68 × 208.64
  4. Step 4: Simplify right side
    468.65x = 146,602.60
  5. Step 5: Solve for x
    x = 146,602.60/468.65
  6. Step 6: Final answer
    x = 312.82

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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.