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Finding the Fourth Proportional to 484.70, 725.34 and 302.18

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Solution

The fourth proportional to 484.70, 725.34 and 302.18 is: 452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.70 : 725.34 = 302.18 : x
  2. Step 2: Convert to fraction form
    484.70/725.34 = 302.18/x
  3. Step 3: Cross multiply
    484.70x = 725.34 × 302.18
  4. Step 4: Simplify right side
    484.70x = 219,183.24
  5. Step 5: Solve for x
    x = 219,183.24/484.70
  6. Step 6: Final answer
    x = 452.20

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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.