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Finding the Fourth Proportional to 484.50, 727.26 and 210.72

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Solution

The fourth proportional to 484.50, 727.26 and 210.72 is: 316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 727.26 = 210.72 : x
  2. Step 2: Convert to fraction form
    484.50/727.26 = 210.72/x
  3. Step 3: Cross multiply
    484.50x = 727.26 × 210.72
  4. Step 4: Simplify right side
    484.50x = 153,248.23
  5. Step 5: Solve for x
    x = 153,248.23/484.50
  6. Step 6: Final answer
    x = 316.30

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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.