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Finding the Fourth Proportional to 483.62, 724.95 and 209.75

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Solution

The fourth proportional to 483.62, 724.95 and 209.75 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 724.95 = 209.75 : x
  2. Step 2: Convert to fraction form
    483.62/724.95 = 209.75/x
  3. Step 3: Cross multiply
    483.62x = 724.95 × 209.75
  4. Step 4: Simplify right side
    483.62x = 152,054.64
  5. Step 5: Solve for x
    x = 152,054.64/483.62
  6. Step 6: Final answer
    x = 314.41

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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.