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Finding the Fourth Proportional to 494.02, 680.16 and 428.14

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Solution

The fourth proportional to 494.02, 680.16 and 428.14 is: 589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 680.16 = 428.14 : x
  2. Step 2: Convert to fraction form
    494.02/680.16 = 428.14/x
  3. Step 3: Cross multiply
    494.02x = 680.16 × 428.14
  4. Step 4: Simplify right side
    494.02x = 291,203.70
  5. Step 5: Solve for x
    x = 291,203.70/494.02
  6. Step 6: Final answer
    x = 589.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.