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Finding the Fourth Proportional to 730.50, 1,008.09 and 468.57

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Solution

The fourth proportional to 730.50, 1,008.09 and 468.57 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 1,008.09 = 468.57 : x
  2. Step 2: Convert to fraction form
    730.50/1,008.09 = 468.57/x
  3. Step 3: Cross multiply
    730.50x = 1,008.09 × 468.57
  4. Step 4: Simplify right side
    730.50x = 472,360.73
  5. Step 5: Solve for x
    x = 472,360.73/730.50
  6. Step 6: Final answer
    x = 646.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.