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Finding the Fourth Proportional to 482.96, 724.84 and 209.26

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Solution

The fourth proportional to 482.96, 724.84 and 209.26 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 724.84 = 209.26 : x
  2. Step 2: Convert to fraction form
    482.96/724.84 = 209.26/x
  3. Step 3: Cross multiply
    482.96x = 724.84 × 209.26
  4. Step 4: Simplify right side
    482.96x = 151,676.39
  5. Step 5: Solve for x
    x = 151,676.39/482.96
  6. Step 6: Final answer
    x = 314.06

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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.