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Finding the Fourth Proportional to 454.03, 680.36 and 210.27

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Solution

The fourth proportional to 454.03, 680.36 and 210.27 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.03 : 680.36 = 210.27 : x
  2. Step 2: Convert to fraction form
    454.03/680.36 = 210.27/x
  3. Step 3: Cross multiply
    454.03x = 680.36 × 210.27
  4. Step 4: Simplify right side
    454.03x = 143,055.69
  5. Step 5: Solve for x
    x = 143,055.69/454.03
  6. Step 6: Final answer
    x = 315.08

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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.