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Finding the Fourth Proportional to 454.10, 680.70 and 210.20

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Solution

The fourth proportional to 454.10, 680.70 and 210.20 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.10 : 680.70 = 210.20 : x
  2. Step 2: Convert to fraction form
    454.10/680.70 = 210.20/x
  3. Step 3: Cross multiply
    454.10x = 680.70 × 210.20
  4. Step 4: Simplify right side
    454.10x = 143,083.14
  5. Step 5: Solve for x
    x = 143,083.14/454.10
  6. Step 6: Final answer
    x = 315.09

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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.