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Finding the Fourth Proportional to 483.34, 724.56 and 209.23

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Solution

The fourth proportional to 483.34, 724.56 and 209.23 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.34 : 724.56 = 209.23 : x
  2. Step 2: Convert to fraction form
    483.34/724.56 = 209.23/x
  3. Step 3: Cross multiply
    483.34x = 724.56 × 209.23
  4. Step 4: Simplify right side
    483.34x = 151,599.69
  5. Step 5: Solve for x
    x = 151,599.69/483.34
  6. Step 6: Final answer
    x = 313.65

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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.