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Finding the Fourth Proportional to 383.10, 527.40 and 284.70

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Solution

The fourth proportional to 383.10, 527.40 and 284.70 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.10 : 527.40 = 284.70 : x
  2. Step 2: Convert to fraction form
    383.10/527.40 = 284.70/x
  3. Step 3: Cross multiply
    383.10x = 527.40 × 284.70
  4. Step 4: Simplify right side
    383.10x = 150,150.78
  5. Step 5: Solve for x
    x = 150,150.78/383.10
  6. Step 6: Final answer
    x = 391.94

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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.