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Finding the Fourth Proportional to 482.85, 724.68 and 209.15

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Solution

The fourth proportional to 482.85, 724.68 and 209.15 is: 313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.85 : 724.68 = 209.15 : x
  2. Step 2: Convert to fraction form
    482.85/724.68 = 209.15/x
  3. Step 3: Cross multiply
    482.85x = 724.68 × 209.15
  4. Step 4: Simplify right side
    482.85x = 151,563.20
  5. Step 5: Solve for x
    x = 151,563.20/482.85
  6. Step 6: Final answer
    x = 313.89

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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.