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Finding the Fourth Proportional to 383.63, 574.00 and 362.78

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Solution

The fourth proportional to 383.63, 574.00 and 362.78 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 574.00 = 362.78 : x
  2. Step 2: Convert to fraction form
    383.63/574.00 = 362.78/x
  3. Step 3: Cross multiply
    383.63x = 574.00 × 362.78
  4. Step 4: Simplify right side
    383.63x = 208,236.25
  5. Step 5: Solve for x
    x = 208,236.25/383.63
  6. Step 6: Final answer
    x = 542.81

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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.