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Finding the Fourth Proportional to 454.68, 680.40 and 394.02

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Solution

The fourth proportional to 454.68, 680.40 and 394.02 is: 589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 680.40 = 394.02 : x
  2. Step 2: Convert to fraction form
    454.68/680.40 = 394.02/x
  3. Step 3: Cross multiply
    454.68x = 680.40 × 394.02
  4. Step 4: Simplify right side
    454.68x = 268,091.21
  5. Step 5: Solve for x
    x = 268,091.21/454.68
  6. Step 6: Final answer
    x = 589.63

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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.