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Finding the Fourth Proportional to 468.18, 702.45 and 208.00

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Solution

The fourth proportional to 468.18, 702.45 and 208.00 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 702.45 = 208.00 : x
  2. Step 2: Convert to fraction form
    468.18/702.45 = 208.00/x
  3. Step 3: Cross multiply
    468.18x = 702.45 × 208.00
  4. Step 4: Simplify right side
    468.18x = 146,105.05
  5. Step 5: Solve for x
    x = 146,105.05/468.18
  6. Step 6: Final answer
    x = 312.07

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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.