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Finding the Fourth Proportional to 383.07, 575.27 and 229.95

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Solution

The fourth proportional to 383.07, 575.27 and 229.95 is: 345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.07 : 575.27 = 229.95 : x
  2. Step 2: Convert to fraction form
    383.07/575.27 = 229.95/x
  3. Step 3: Cross multiply
    383.07x = 575.27 × 229.95
  4. Step 4: Simplify right side
    383.07x = 132,282.19
  5. Step 5: Solve for x
    x = 132,282.19/383.07
  6. Step 6: Final answer
    x = 345.32

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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.