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Finding the Fourth Proportional to 454.39, 680.57 and 210.17

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Solution

The fourth proportional to 454.39, 680.57 and 210.17 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.39 : 680.57 = 210.17 : x
  2. Step 2: Convert to fraction form
    454.39/680.57 = 210.17/x
  3. Step 3: Cross multiply
    454.39x = 680.57 × 210.17
  4. Step 4: Simplify right side
    454.39x = 143,034.35
  5. Step 5: Solve for x
    x = 143,034.35/454.39
  6. Step 6: Final answer
    x = 314.79

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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.