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Finding the Fourth Proportional to 613.68, 846.84 and 380.88

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Solution

The fourth proportional to 613.68, 846.84 and 380.88 is: 525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 846.84 = 380.88 : x
  2. Step 2: Convert to fraction form
    613.68/846.84 = 380.88/x
  3. Step 3: Cross multiply
    613.68x = 846.84 × 380.88
  4. Step 4: Simplify right side
    613.68x = 322,544.42
  5. Step 5: Solve for x
    x = 322,544.42/613.68
  6. Step 6: Final answer
    x = 525.59

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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.