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Finding the Fourth Proportional to 664.03, 993.72 and 468.58

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Solution

The fourth proportional to 664.03, 993.72 and 468.58 is: 701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 993.72 = 468.58 : x
  2. Step 2: Convert to fraction form
    664.03/993.72 = 468.58/x
  3. Step 3: Cross multiply
    664.03x = 993.72 × 468.58
  4. Step 4: Simplify right side
    664.03x = 465,637.32
  5. Step 5: Solve for x
    x = 465,637.32/664.03
  6. Step 6: Final answer
    x = 701.23

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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.