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Finding the Fourth Proportional to 383.84, 574.39 and 245.13

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Solution

The fourth proportional to 383.84, 574.39 and 245.13 is: 366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.84 : 574.39 = 245.13 : x
  2. Step 2: Convert to fraction form
    383.84/574.39 = 245.13/x
  3. Step 3: Cross multiply
    383.84x = 574.39 × 245.13
  4. Step 4: Simplify right side
    383.84x = 140,798.37
  5. Step 5: Solve for x
    x = 140,798.37/383.84
  6. Step 6: Final answer
    x = 366.82

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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.