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Finding the Fourth Proportional to 468.87, 702.35 and 224.65

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Solution

The fourth proportional to 468.87, 702.35 and 224.65 is: 336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.87 : 702.35 = 224.65 : x
  2. Step 2: Convert to fraction form
    468.87/702.35 = 224.65/x
  3. Step 3: Cross multiply
    468.87x = 702.35 × 224.65
  4. Step 4: Simplify right side
    468.87x = 157,782.93
  5. Step 5: Solve for x
    x = 157,782.93/468.87
  6. Step 6: Final answer
    x = 336.52

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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.