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Finding the Fourth Proportional to 410.92, 613.38 and 380.84

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Solution

The fourth proportional to 410.92, 613.38 and 380.84 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 613.38 = 380.84 : x
  2. Step 2: Convert to fraction form
    410.92/613.38 = 380.84/x
  3. Step 3: Cross multiply
    410.92x = 613.38 × 380.84
  4. Step 4: Simplify right side
    410.92x = 233,599.64
  5. Step 5: Solve for x
    x = 233,599.64/410.92
  6. Step 6: Final answer
    x = 568.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.