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Finding the Fourth Proportional to 383.38, 528.33 and 295.78

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Solution

The fourth proportional to 383.38, 528.33 and 295.78 is: 407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.38 : 528.33 = 295.78 : x
  2. Step 2: Convert to fraction form
    383.38/528.33 = 295.78/x
  3. Step 3: Cross multiply
    383.38x = 528.33 × 295.78
  4. Step 4: Simplify right side
    383.38x = 156,269.45
  5. Step 5: Solve for x
    x = 156,269.45/383.38
  6. Step 6: Final answer
    x = 407.61

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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.